CONSTRUCTION OF UPPER AND LOWER SOLUTIONS FOR SINGULAR DISCRETE INITIAL AND BOUNDARY VALUE PROBLEMS potx
CONSTRUCTION OF UPPER AND LOWER SOLUTIONS FOR SINGULAR DISCRETE INITIAL AND BOUNDARY VALUE PROBLEMS potx
... Department of Mathematics, National University of Ireland, Galway, IrelandE-mail address: donal.oregan@nuigalway.ie CONSTRUCTION OF UPPER AND LOWER SOLUTIONS FOR SINGULAR DISCRETE INITIAL AND BOUNDARY ... R.P.Agarwal,D.O’Regan,V.Lakshmikantham,andS.Leela,Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solutionapproach, Nonlinear Anal. ... C(N+,R)withu(k) ≥ α(k) > 0 for k ∈ N. 214 Discrete initial and boundary value problems [10] R. Man´asevich and F. Zanolin, Time-mappings and multiplicity of solutions for the one-dimensional...
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Báo cáo hóa học: "Research Article Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems" ppt
... 2004.5 A. Cabada, “The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems, ” Journal of Mathematical Analysis and Applications, vol. 185, no. ... Γit,i 0, 1, ,n− 2, 2.316 Boundary Value Problems 10 M. R. Grossinho and F. M. Minh´os, Upper and lower solutions for higher order boundary value problems, ” Nonlinear Studies, vol. ... 1109–1121, 2005.7 Z. Du, W. Ge, and X. Lin, “Existence of solutions for a class of third-order nonlinear boundary value problems, ” Journal of Mathematical Analysis and Applications, vol. 294, no....
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Báo cáo hóa học: "EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR SOME THREE-POINT NONLINEAR BOUNDARY VALUE PROBLEMS" pptx
... 108–124.[13] Z. Zhang and J. Wang, The upper and lower solution method for a class of singular nonlinear secondorder three-point boundary value problems, Journal of Computational and Applied Mathematics147 ... semi-positone three-point boundary value problems, Journal of Mathematical Analysis and Applications 291 (2004), no. 2, 673–689.[11], Positive solutions for singular m-point boundary value problems with ... OF SOLUTIONS FOR SOMETHREE-POINT NONLINEAR BOUNDARY VALUE PROBLEMS XU XIAN AND DONAL O’REGANReceived 30 September 2004; Accepted 20 October 2004We study the existence and multiplicity of solutions...
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báo cáo hóa học:" Research Article Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities" pot
... Corporation Boundary Value Problems Volume 2011, Article ID 715836, 12 pagesdoi:10.1155/2011/715836Research ArticleGlobal Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with ... behavior of the components f or the second order m-point boundary value problems, ” Boundary Value Problems, vol. 2008, Article ID 254593, 10 pages, 2008.6 R. Ma and Y. An, “Global structure of positive ... sign-changing solutions for some m-point boundary- value problems, ” ElectronicJournal of Differential Equations, vol. 2004, no. 89, pp. 1–14, 2004.4 S. Jingxian, X. Xian, and D. O’Regan, “Nodal solutions...
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Báo cáo hóa học: " Research Article Existence of Positive Solutions for Fourth-Order Three-Point Boundary Value Problems Chuanzhi Bai" ppt
... 439–448, 1999.[5] Z. Hao, L. Liu, and L. Debnath, “A necessary and sufficient condition for the existence of posi-tive solutions of fourth-order singular boundary value problems, ” Applied Mathemat ics ... two-point boundary value problems, ” Electronic Journal of Differential Equations, no. 16, pp. 1–8, 2007.[9] R. Ma, “Positive solutions of fourth-order two-point boundary value problems, ” Annals of Dif-ferential ... solutions of fourth-order two point boundary value problems, ” Applied Math-ematics and Computation, vol. 148, no. 2, pp. 407–420, 2004.[8] D. Yang, H. Zhu, and C. Bai, “Positive solutions for...
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Báo cáo hóa học: " Research Article Existence of Positive Solutions for Fourth-Order Three-Point Boundary Value Problems Chuanzhi Bai" potx
... 439–448, 1999.[5] Z. Hao, L. Liu, and L. Debnath, “A necessary and sufficient condition for the existence of posi-tive solutions of fourth-order singular boundary value problems, ” Applied Mathemat ics ... two-point boundary value problems, ” Electronic Journal of Differential Equations, no. 16, pp. 1–8, 2007.[9] R. Ma, “Positive solutions of fourth-order two-point boundary value problems, ” Annals of Dif-ferential ... solutions of fourth-order two point boundary value problems, ” Applied Math-ematics and Computation, vol. 148, no. 2, pp. 407–420, 2004.[8] D. Yang, H. Zhu, and C. Bai, “Positive solutions for...
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Báo cáo hóa học: "Research Article Existence and Uniqueness of Smooth Positive Solutions to a Class of Singular m-Point Boundary Value Problems" potx
... existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential equations. Anecessary and sufficient condition for the ... 2007.3 Z. Wei, “A necessary and sufficient condition for the existence of positive solutions of singular super-linear m-point boundary value problems, ” Applied Mathematics and Computation, vol. 179, ... existence and uniqueness of smooth positive solutions isgiven by constructing lower and upper solutions and with the maximal theorem. Our nonlinearityft, u,v may be singular at v, t 0 and/ or...
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Báo cáo hóa học: " Research Article Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems" potx
... ArticleExistence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems Bo Zheng,1Huafeng Xiao,1 and Haiping Shi21School of Mathematics and Information Sciences, ... Zheng and Q. Zhang, “Existence and multiplicity of solutions of second-order difference boundary value problems, ” Acta Applicandae Mathematicae, vol. 110, no. 1, pp. 131–152, 2010.6 X. Cai and ... for second-order discrete boundary value problems, ” Journal of Mathematical Analysis and Applications, vol. 320, no. 2, pp. 649–661, 2006.7 L. Jiang and Z. Zhou, “Existence of nontrivial solutions...
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Báo cáo hóa học: " Research Article Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems" doc
... Corporation Boundary Value Problems Volume 2008, Article ID 574842, 9 pagesdoi:10.1155/2008/574842Research ArticleMultiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value ... establish the existence of multiple positive solutions for a singular nonlinear third-order peri-odic boundary value problem. We are mainly interested in the semipositone case. The proof relieson a ... uft, uL ≥ 0 for all t, u ∈ 0, 2π×0, ∞.During the last two decades, singular periodic problems have deserved the attention of many researchers 1–8. Third-order boundary value problems have...
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Báo cáo hóa học: "EXISTENCE OF SOLUTIONS FOR A NONLINEAR ELLIPTIC DIRICHLET BOUNDARY VALUE PROBLEM WITH AN INVERSE SQUARE POTENTIAL" potx
... that Proposition 3.4 holds. Theproofinthecaseofc ≥ α isthesameasintheproofof[5, Theorem 5.3], by n owwe have completed the proof of Theorem 1.1.4. Proof of Theorem 1.3In this section, we ... following definition has become standard.S. Weng and Y. Li 7References[1] A. Capozzi, D. Fortunato, and G. Palmieri, An existence result for nonlinear elliptic problems in-volving critical Sobolev ... Professor Zhaoli Liu for many valuable comments whichimproved the manuscript. The authors acknowledge the support of NNSF of China(10161010) and Fujian Provincial Natural Science Foundation of...
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