fourier series transforms and boundary value problems
Báo cáo hóa học: " On singular nonlinear distributional and impulsive initial and boundary value problems" pdf
... Order Boundary Value Problems This section is devoted to the study of the second order boundary value problem(BVP)Heikkilä Boundary Value Problems 2011, 2011:24http://www.boundaryvalueproblems.com/content/2011/1/24Page ... =1,2,u1 u2, and v1 v2.Heikkilä Boundary Value Problems 2011, 2011:24http://www.boundaryvalueproblems.com/content/2011/1/24Page 15 of 19 Example 5.1. Determine the smallest and greatest ... smallest and greatest solutions of the second order initial and boundary value problems, and dependence of these solutions on the data are studiedin Sections 5 and 6. Applications to impulsive problems...
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Tài liệu Boundary Value Problems, Sixth Edition: and Partial Differential Equations pptx
... Equations 140.3 Boundary Value Problems 260.4 Singular Boundary Value Problems 380.5 Green’s Functions 43Chapter Review 51Miscellaneous Exercises 51CHAPTER 1 Fourier Series and Integrals 591.1 ... Functions and Fourier Series 591.2 Arbitrary Period and Half-Range Expansions 641.3 Convergence of Fourier Series 731.4 Uniform Convergence 791.5 Operations on Fourier Series 851.6 Mean Error and ... Equations0.3 Boundary Value Problems A boundary value problem in one dimension is an ordinary differential equa-tion together with conditions involving values of the solution and/ or its deriv-atives...
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Luong and Loi Boundary Value Problems 2011, 2011:56 potx
... Luong and Loi: Initial boundary value problems for second order parabolic systems incylinders with polyhedral base. Boundary Value Problems 2011 2011:56.Luong and Loi Boundary Value Problems ... of vector-valued func-tions u defined in QTwith the normLuong and Loi Boundary Value Problems 2011, 2011:56http://www.boundaryvalueproblems.com/content/2011/1/56â 2011 Luong and Loi; licensee ... s and a.e. (x, t) ẻ QT.In this article, we study the following problem:ut+ L(x, t; D)u = f in QT,(2)Luong and Loi Boundary Value Problems 2011, 2011:56http://www.boundaryvalueproblems.com/content/2011/1/56Page...
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Li and Dong Boundary Value Problems 2011, 2011:59 ppt
... to that of Lemma 2.2 and will omit it here.Li and Dong Boundary Value Problems 2011, 2011:59http://www.boundaryvalueproblems.com/content/2011/1/59Page 7 of 18 By (2.12) and (2.13), we getσ ... ||u||, u ẻ P 1 and ||Tu|| ||u||, u ẻ P 2,or(ii)||Tu|| ||u||, u ẻ P 1 and ||Tu|| ||u||, u ẻ P 2Li and Dong Boundary Value Problems 2011, 2011:59http://www.boundaryvalueproblems.com/content/2011/1/59Page ... {g0,g∞},Li and Dong Boundary Value Problems 2011, 2011:59http://www.boundaryvalueproblems.com/content/2011/1/59Page 11 of 18 Lemma 2.4. Suppose that (H1) is satisfied, for all t, s ẻ I and i...
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Báo cáo hóa học: " On existence and uniqueness of positive solutions to a class of fractional boundary value problems" pot
... to a class of fractional boundary value problems. Boundary Value Problems 2011 2011:25.Caballero et al. Boundary Value Problems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page ... obvious.Caballero et al. Boundary Value Problems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page 6 of 9 In this case, the boundary value 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. Boundary Value Problems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page...
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báo cáo hóa học: " On existence and uniqueness of positive solutions to a class of fractional boundary value problems" ppt
... to a class of fractional boundary value problems. Boundary Value Problems 2011 2011:25.Caballero et al. Boundary Value Problems 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. Boundary Value Problems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page ... u(1)= u(0)=0,(10)Caballero et al. Boundary Value Problems 2011, 2011:25http://www.boundaryvalueproblems.com/content/2011/1/25Page 8 of 9 andtheyprovedtheexistenceofpositivesolutionsbymeansoftheKrasnosel’skiifixed-point...
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Báo cáo hóa học: " Editorial Degenerate and Singular Differential Operators with Applications to Boundary Value Problems" ppt
... Corporation Boundary Value Problems Volume 2010, Article ID 521070, 2 pagesdoi:10.1155/2010/521070EditorialDegenerate and Singular Differential Operatorswith Applications to Boundary Value Problems Claudianor ... Problems Claudianor Oliveira Alves1 and Vicentáiu Radulescu2, 31Unidade AcademicadeMatematica e Estatstica, Universidade Federal de Campina Grande,58109-970 Campina Grande, PB, Brazil2Institute ... singularities in nonlinear PDEs, and Lane-Emden-Fowler-type equationswith convection and singular potential. We would like to thank the authors for their excellentcontributions and patience in assisting...
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Báo cáo hóa học: " Research Article Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems" potx
... positive and write u>0 if for all n ∈1,T,un ≥ 0, and {n ∈ 1,T: un > 0}/ ∅, and similarly, 2 Boundary Value Problems u is negative u<0 if for all n ∈1,T,un ≤ 0, and {n ... 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...
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báo cáo hóa học:" Research Article Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems" potx
... singular Neumann boundary value problems, ” Positivity,vol.12,no.3,pp.555–569, 2008.5 D Q. Jiang and H Z. Liu, “Existence of positive solutions to second order Neumann boundary value problems, ” ... positive solution u∗in Ph. 10 Boundary Value Problems 8 J P. Sun, W T. Li, and S. S. Cheng, “Three positive solutions for second-order Neumann b oundary value problems, ” Applied Mathematics ... repulsive singularNeumann boundary value problems by using a nonlinear alternative of Leray-Schauder and Krasnosel’skii fixed-point theorem on compression and expansion of cones, and obtained theexistence...
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báo cáo hóa học:" Research Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations" ppt
... Publishing Corporation Boundary Value Problems Volume 2010, Article ID 973731, 22 pagesdoi:10.1155/2010/973731Research ArticleSolutions and Green’s Functions for Boundary Value Problems of Second-OrderFour-Point ... Henderson and A. Peterson, Boundary value problems 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 ... Yang, B. Shi, and D. C. Zhang, “Existence of positive solutions for boundary value problems of nonlinear functional difference equation with p-Laplacian operator,” Boundary Value Problems, vol.2007,...
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Báo cáo sinh học: " Research Article Approximation of Solution of Some m-Point Boundary Value Problems on Time Scales Rahmat Ali Khan1 and Mohammad Rafique2 1" pot
... 889–896, 2004.7 F. M. Atici and G. Sh. Guseinov, “On Green’s functions and positive solutions for boundary value problems on time scales,” Journal of Computational and Applied Mathematics, vol. ... solutions to boundary value problems on timescales,” Dynamics of Continuous, Discrete & Impulsive Systems. Series A, vol. 12, no. 5, pp. 595–606, 2005.13 D. R. Anderson and R. I. Avery, ... A. Khan, J. J. Nieto, and V. Otero-Espinar, “Existence and approximation of solution of three-point boundary value problems on time scales,” Journal of Difference Equations and Applications, vol....
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báo cáo hóa học:" Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales" doc
... periodic bound-ary value difference problems. J. Math. Anal. Appl. 247, 67–86 (2000)[8] Atici, F, Guseinov, G: On Green’s functions and positive solutions for boundary value problems on time scales. ... with the Theorem 3.1 and is omitted here.12 Multi-point boundary value problems for anincreasing homeomorphism and positivehomomorphism on time scalesLiu Yang∗1,2 and Weiguo Zhang11College ... nonlinear m-point boundary value problem. J. Math. Anal. Appl. 256, 556–567 (2001)[3] Bai, Z, Ge, W, Wang, Y: Multiplicity results for some second-order four-point boundary- value problems. Nonlinear...
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