... Order BoundaryValue Problems This section is devoted to the study of the second order boundaryvalue problem(BVP)Heikkilä BoundaryValueProblems 2011, 2011:24http://www.boundaryvalueproblems.com/content/2011/1/24Page ... smallest and greatest solutions of the second order initial and boundaryvalue problems, and dependence of these solutions on the data are studiedin Sections 5 and 6. Applications to impulsive problems ... u2, and v1 v2.Heikkilä BoundaryValueProblems 2011, 2011:24http://www.boundaryvalueproblems.com/content/2011/1/24Page 15 of 19 Example 5.1. Determine the smallest and greatest solutions...
... positive solutions to a class of fractional boundary value problems. BoundaryValueProblems 2011 2011:25.Caballero et al. BoundaryValueProblems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page ... obvious.Caballero et al. BoundaryValueProblems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page 6 of 9 In this case, the boundaryvalue problem is nonautonomous, and thus, this ... continuous and nondecreasing and satisfies ψ(u)>0foru > 0 and ψ(0) = 0. Con-sequently,φ∈J.Caballero et al. BoundaryValueProblems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page...
... positive solutions to a class of fractional boundary value problems. BoundaryValueProblems 2011 2011:25.Caballero et al. BoundaryValueProblems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page ... continuous and nondecreasing and satisfies ψ(u)>0foru > 0 and ψ(0) = 0. Con-sequently,φ∈J.Caballero et al. BoundaryValueProblems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page ... 1].Caballero et al. BoundaryValueProblems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page 3 of 9 RESEA R C H Open AccessOn existence and uniqueness of positive solutions to...
... 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 ... point boundary value problems, ” Applied Mathematics and Computation, vol. 180, no. 1, pp. 318–329, 2006.8 H. Liang and P. Weng, “Existence and multiple solutions for a second-order difference boundary value ... ArticleExistence of Positive, Negative, and Sign-Changing Solutions to Discrete BoundaryValue Problems Bo Zheng,1Huafeng Xiao,1 and Haiping Shi21School of Mathematics and Information Sciences, Guangzhou...
... Publishing Corporation Boundary Value Problems Volume 2010, Article ID 973731, 22 pagesdoi:10.1155/2010/973731Research Article Solutions and Green’s Functions for Boundary ValueProblems of Second-OrderFour-Point ... Yang, B. Shi, and D. C. Zhang, “Existence of positive solutions for boundaryvalue problems of nonlinear functional difference equation with p-Laplacian operator,” BoundaryValue Problems, vol.2007, ... Henderson and A. Peterson, Boundaryvalueproblems for functional difference equations,”Applied Mathematics Letters, vol. 9, no. 3, pp. 57–61, 1996.4 S. J. Yang, B. Shi, and M. J. Gai, Boundary value...
... Equations 140.3 BoundaryValueProblems 260.4 Singular BoundaryValueProblems 380.5 Green’s Functions 43Chapter Review 51Miscellaneous Exercises 51CHAPTER 1 FourierSeriesand Integrals 591.1 ... Functions andFourierSeries 591.2 Arbitrary Period and Half-Range Expansions 641.3 Convergence of FourierSeries 731.4 Uniform Convergence 791.5 Operations on FourierSeries 851.6 Mean Error and ... Equations0.3 BoundaryValue Problems A boundaryvalue problem in one dimension is an ordinary differential equa-tion together with conditions involving values of the solution and/ or its deriv-atives...
... positive solutions of sublinear second-order discrete boundary value problems. Adv Diff Equ, Art ID 671625. 15 (2009)15. Rabinowitz, PH: Some global results of nonlinear eigenvalue problems. ... of principal eigenvalues for the BVP(1.3) and (1.4). At first, we give the definition of principal eigenvalue of (1.3) and (1.4).Definition 3.1. An eigenvalue l for (1.3) and (1.4) is called ... f positive solutions of (1.1), (1.2), and obtain the existence of positive solutions of (1.1) and (1.2). More-over, we can also obtain the existence of negative solutions of (1.1) and (1.2).Now,...
... in BoundaryValueProblems go tohttp://www.boundaryvalueproblems.com/authors/instructions/For information about other SpringerOpen publications go tohttp://www.springeropen.com Boundary Value ... versions will be made available soon.Existence of Positive Solutions for Nonlinear m-point BoundaryValue Problems on Time Scales Boundary ValueProblems 2012, 2012:4 doi:10.1186/1687-2770-2012-4Junfang ... Double positive solutions of boundaryvalueproblems for p-Laplacian dynamicequations on time scales. Appl. Anal. 84, 377–390 (2005)21. Anderson, DR: Twin n-point boundaryvalue problem. Appl....