University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 06 30 Solving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation 169 179 EN A. Babaei Department of Mathematics, University of Mazandaran, Babolsar, Iran babaei@umz.ac.ir The inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and nding the unknown parameter is derived. Finally, two numerical examples are investigated to illustrate this method. Semilinear parabolic equation,Inverse problem,Unknown control parameter,Weighted homotopy analysis method,Series solution http://cjms.journals.umz.ac.ir/article_600.html http://cjms.journals.umz.ac.ir/article_600_cc243241da9f458f21468d7601c3c57c.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 06 30 On the determination of asymptotic formula of the nodal points for the Sturm-Liouville equation with one turning point 181 187 EN A. Dabbaghian Islamic Azad University, Neka Branch, Neka, Iran a.dabbaghian@iauneka.ac.ir A. Nematy university of mazandaran, Babolsar namaty@umz.ac.ir In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated. Furthermore, we obtain the zeros of eigenfunctions. Turning point,Inverse nodal problem,Nodal Points,Eigenvalues,Eigenfunctions http://cjms.journals.umz.ac.ir/article_558.html http://cjms.journals.umz.ac.ir/article_558_1ea2b9fea85bf459346ca1951f450d5b.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 30 GEOMETRIZATION OF HEAT FLOW ON VOLUMETRICALLY ISOTHERMAL MANIFOLDS VIA THE RICCI FLOW 189 205 EN S. Kumar Department of Mathematics Govt. P.G. Degree College, New Tehri, Tehri Garhwal, Uttarakhand, Zip-code: 249 001, India sandeep 2297@redi mail.com; drsandeepkumar- The present article serves the purpose of pursuing Geometrization of heat ﬂow on volumetrically isothermal manifold by means of RF approach. In this article, we have analyzed the evolution of heat equation in a 3-dimensional smooth isothermal manifold bearing characteristics of Riemannian manifold and fundamental properties of thermodynamic systems. By making use of the notions of various curvatures, we have discussed diﬀerent types of heat diﬀusion equation for our volumetrically isothermal manifold and its isothermal surfaces. Finally, we have delineated a heat diﬀusion model for such isothermal manifold and by decomposing it into isothermal surfaces we have developed equation for heat diﬀusion. Ricci ﬂow http://cjms.journals.umz.ac.ir/article_561.html http://cjms.journals.umz.ac.ir/article_561_6de6a68d5e27c5911dc790944ccef16e.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 INFINITELY MANY SOLUTIONS FOR A CLASS OF P-BIHARMONIC PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS 207 219 EN S. MIR Department of Mathematics, Payame Noor University, Tehran, Iran., P.O.Box 19395-3697 mir@phd.pnu.ac.ir M.B. Ghaemi Department of Mathematics, Iran University of Science and Technology, Tehran, Iran mghaemi@iust.ac.ir G. A. Afroozi Department of Mathematics, Faculty of Mathematics Sci- ences, University of Mazandaran, Babolsar, Iran afrouzi@ umz.ac.ir The existence of inﬁnitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result. http://cjms.journals.umz.ac.ir/article_562.html http://cjms.journals.umz.ac.ir/article_562_ae95a606f7a40a69bbb2b5e89a0724c9.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 The Lotka-Volterra Predator-Prey Equations 221 225 EN M. H. Rahmani Doust Department of Mathematics‎, ‎University of Neyshabur‎, ‎Neyshabur‎, ‎Iran mh.rahmanidoust@neyshabur.ac.ir S. GHolizade Department of Mathematics‎, ‎University of Neyshabur‎, ‎Neyshabur‎, ‎Iran One may find out the application‎ ‎of mathematics in the areas of ecology‎, ‎biology‎, ‎environmental‎ ‎sciences etc‎. ‎Mathematics is particulary used in the problem of‎ ‎predator-prey known as lotka-Volterra predator-prey equations.‎ ‎Indeed‎, ‎differential equations is employed very much in many areas‎ ‎of other sciences‎. ‎However‎, ‎most of natural problems involve some‎ ‎unknown functions‎. ‎In this paper‎, ‎an environmental case‎ ‎containing two related populations of prey and predator species is‎ ‎studied‎. ‎As the classic Lotka-Volterra assumptions are‎ ‎unrealistic‎, ‎it is assumed that there is logistic behavior for‎ ‎both existing species‎. ‎We see that two populations influence the‎ ‎size of each other.‎ Lotka-Volterra model,‎ ‎Prey-Predator,Growth Rate http://cjms.journals.umz.ac.ir/article_563.html http://cjms.journals.umz.ac.ir/article_563_4f4029a1effb09c28117f6b8dcb91554.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 B-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems 227 232 EN A. Yazdani Department of Mathematics, University of Mazandaran yazdani@umz.ac.ir S Gharbavi Department of Mathematics, University of Mazandara In this paper, we solve a linear system of second-order boundary value problems by using the quadratic B-spline nite el- ement method (FEM). The performance of the method is tested on one model problem. Comparisons are made with both the analyti- cal solution and some recent results.The obtained numerical results show that the method is ecient. Finite element method,Quadratic B-splines,Bound- ary Value Problems http://cjms.journals.umz.ac.ir/article_586.html http://cjms.journals.umz.ac.ir/article_586_2e0b23260cf10fb4d2267af2db08891b.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 NOTES ON REGULAR MULTIPLIER HOPF ALGEBRAS 233 251 EN H. Abbasi Department of Mathematics, Azarbaijan Shahid Madani University, abbasi.makrani@gmail.com G. A. HAGHIGHATDOOST Department of Mathematics, Azarbaijan Shahid Madani University In this paper, we associate canonically a precyclic mod- ule to a regular multiplier Hopf algebra endowed with a group-like projection and a modular pair in involution satisfying certain con- dition Hopf algebra,Multiplier Hopf algebra,precyclic mod- ule http://cjms.journals.umz.ac.ir/article_597.html http://cjms.journals.umz.ac.ir/article_597_810a86d28e2b46757c3e3ab7ed56b836.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 The Bernoulli Ritz-collocation method to the solution of modelling the pollution of a system of lakes 253 265 EN E. Sokhanvar Department of Mathematics, Kerman Graduate University of Technology, Mahan, Kerman, Iran esokhanvar.92@gmail.com S. yousefi Shahid Beheshti University s-youse @sbu.ac.ir Pollution has become a very serious threat to our environment. Monitoring pollution is the rst step toward planning to save the environment. The use of dierential equations, monitoring pollution has become possible. In this paper, a Ritz-collocation method is introduced to solve non-linear oscillatory systems such as modelling the pollution of a system of lakes. The method is based upon Bernoulli polynomials. These polynomials are rst presented. The Bernoulli Ritz-collocation method is then utilized to reduce modelling the pollution of a system of lakes to the solution of algebraic equations. An illustrative example is included to demonstrate the validity and applicability of the proposed method. Bernoulli polynomials,Modelling the pollution of a system of lakes,Ritz-collocation method http://cjms.journals.umz.ac.ir/article_598.html http://cjms.journals.umz.ac.ir/article_598_47bcf16e4595ba834ceedd82aa7c1649.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD 267 275 EN H‎. ‎ Abbasi Department of Mathematics‎, ‎Azarbaijan Shahid Madani University‎, ‎Tabriz‎, ‎Iran‎. abbasi.makrani@gmail.com G‎. ‎A‎. ‎HAGHIGHATDOOST Department of Mathematics‎, ‎Azarbaijan Shahid Madani University‎, ‎Tabriz‎, ‎Iran gorbanali@azaruniv.ac.ir ‎In this paper‎, ‎we introduce the structure of a groupoid associated to a vector field‎ ‎on a smooth manifold‎. ‎We show that in the case of the \$1\$-dimensional manifolds‎, ‎our‎ ‎groupoid has a‎ ‎smooth structure such that makes it into a Lie groupoid‎. ‎Using this approach‎, ‎we associated to‎ ‎every vector field an equivalence‎ ‎relation on the Lie algebra of all vector fields on the smooth manifolds. Groupoid‎,‎Lie Groupoid http://cjms.journals.umz.ac.ir/article_602.html http://cjms.journals.umz.ac.ir/article_602_e01a665ec9d80a7a0fb61cac6b2f85a4.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 Operator Valued Series and Vector Valued Multiplier Spaces 277 288 EN C. Swartz Mathematics Department, New Mexico State University Las Cruces‎, ‎NM 88003,USA cswartz@nmsu.edu ‎Let \$X,Y\$ be normed spaces with \$L(X,Y)\$ the space of continuous‎ ‎linear operators from \$X\$ into \$Y\$‎. ‎If \${T_{j}}\$ is a sequence in \$L(X,Y)\$,‎ ‎the (bounded) multiplier space for the series \$sum T_{j}\$ is defined to be‎ [ ‎M^{infty}(sum T_{j})={{x_{j}}in l^{infty}(X):sum_{j=1}^{infty}%‎ ‎T_{j}x_{j}text{ }converges}‎ ‎]‎ ‎and the summing operator \$S:M^{infty}(sum T_{j})rightarrow Y\$ associated‎ ‎with the series is defined to be \$S({x_{j}})=sum_{j=1}^{infty}T_{j}x_{j}\$.‎ ‎In the scalar case the summing operator has been used to characterize‎ ‎completeness‎, ‎weakly unconditionall Cauchy series‎, ‎subseries and absolutely‎ ‎convergent series‎. ‎In this paper some of these results are generalized to the‎ ‎case of operator valued series The corresponding space of weak multipliers‎ ‎is also considered.‎ multiplier convergent series‎,‎multipliers‎,‎compact operators,‎ ‎absolutely summing operators,summing operator http://cjms.journals.umz.ac.ir/article_625.html http://cjms.journals.umz.ac.ir/article_625_ea36170ea52e02ae018c4557da098975.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 LI-YORKE CHAOTIC GENERALIZED SHIFT DYNAMICAL SYSTEMS 289 295 EN F. Ayatollah Zadeh Shirazi Faculty of Math., Stat. and Computer Science, College of Science, University of Tehran, Tehran, Iran fatemah@khayam.ut.ac.ir J. Nazarian Sarkooh Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran javad.nazariansarkooh@stu.um.ac.ir ‎In this text we prove that in generalized shift dynamical system \$(X^Gamma,sigma_varphi)\$‎ ‎for finite discrete \$X\$ with at least two elements‎, ‎infinite countable set \$Gamma\$ and‎ ‎arbitrary map \$varphi:GammatoGamma\$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system \$(X^Gamma,sigma_varphi)\$ is‎ Li-Yorke chaotic;‎ - the dynamical system \$(X^Gamma,sigma_varphi)\$ has‎ an scrambled pair;‎ ‎- the map \$varphi:GammatoGamma\$ has at least‎ one non-quasi-periodic point‎. Generalized shift,Li-Yorke chaos,Scrambled pair http://cjms.journals.umz.ac.ir/article_651.html http://cjms.journals.umz.ac.ir/article_651_7d6d873624d798bcdeada5358b4a3a53.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 Ginsburg-Pitaevski-Gross differential equation with the Rosen-Morse and modified Woods-Saxon potentials 297 304 EN B. Pourhassan Department of Physics, Imam Hossein University, Tehran, Iran b.pourhassan@umz.ac.ir J. Khalilzadeh Department of Physics, Imam Hossein University, Tehran, Iran javadkhalil@yahoo.com In this paper, we consider non-linear Ginsburg-Pitaevski-Gross equation with the Rosen-Morse and modifiedWoods-Saxon potentials which is corresponding to the quantum vortices and has important applications in turbulence theory. We use the Runge- Kutta-Fehlberg approximation method to solve the resulting non-linear equation.     Quantum Vortices,Non-Linear Differential Equation,Wave Function http://cjms.journals.umz.ac.ir/article_653.html http://cjms.journals.umz.ac.ir/article_653_3cd3157a322a535ae4a6a25909a4bfb3.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 Simplest Equation Method for nonlinear solitary waves in Thomas- Fermi plasmas 305 316 EN A. Valinejad Department of Computer Science, Mazandaran University, Babolsar, Iran valinejad@umz.ac.ir A. Neirameh Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran a.neirameh@gonbad.ac.ir The Thomas-Fermi (TF) equation has proved to beuseful for the treatment of many physical phenomena. In this pa-per, the traveling wave solutions of the KdV equation is investi-gated by the simplest equation method. Also, the effect of differentparameters on these solitary waves is considered. The numericalresults is conformed the good accuracy of presented method.     Simplest equation method,Thomas-Fermi plasmas,KdV equation,Ion acoustic waves http://cjms.journals.umz.ac.ir/article_882.html http://cjms.journals.umz.ac.ir/article_882_f5e4417be7c3ac0e79398618da6c9f60.pdf
University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 1735-0611 3 2 2014 12 31 SOLVING FUZZY LINEAR PROGRAMMING PROBLEMS WITH LINEAR MEMBERSHIP FUNCTIONS-REVISITED 317 328 EN B. Farhadinia Department of Mathematics, Quchan Institute of Engineering and Technology, Iran Recently, Gasimov and Yenilmez proposed an approach for solving two kinds of fuzzy linear programming (FLP) problems. Through the approach, each FLP problem is first defuzzified into an equivalent crisp problem which is non-linear and even non-convex. Then, the crisp problem is solved by the use of the modified subgradient method. In this paper we will have another look at the earlier defuzzification process developed by Gasimov and Yenilmez in view of a perfectly acceptable remark in fuzzy contexts. Furthermore, it is shown that if the modified defuzzification process is used to solve FLP problems, some interesting results are appeared. Fuzzy linear programming problems,Modified subgradient method,Fuzzy decisive set method http://cjms.journals.umz.ac.ir/article_557.html http://cjms.journals.umz.ac.ir/article_557_7b0867c51246f42a8eebe333df9e6ce1.pdf