dirichlet neumann and third boundary value problems

... h Î ℂs and a.e (x, t) Î 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, 2011:56 http://www.boundaryvalueproblems.com/content/2011/1/56 ... with respect to t from to τ,

Ngày tải lên: 20/06/2014, 21:20

... ∩ ∂Ω1 and ||Tu|| ≥ ||u||, ∀u Î P ∩ ∂Ω2, or (ii) ||Tu|| ≥ ||u||, ∀u Î P ∩ ∂Ω1 and ||Tu|| ≤ ||u||, ∀u Î P ∩ ∂Ω2 Li and Dong Boundary Value Problems 2011, 2011:59 http://www.boundaryvalueproblems.com/content/2011/1/59 ... O2 i=1 |ϕi | < l1 and t Î I, M3 + ε q1 (t) |ϕi | λ i=1 Li and Dong Boundary Value Problems 2011, 2011:59 http://www.boundaryvalueproblems.com/content/2011/1/59 Page 13 of 18 And since 2 Ai v(t) ... σ (T) σ (T) u(s)B1 (s) s (2:13) Li and Dong Boundary Value Problems 2011, 2011:59 http://www.boundaryvalueproblems.com/content/2011/1/59 Page of 18 By (2.12) and (2.13), we get σ (T) K11 D21 u(s)A1...

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... singularities,” Boundary Value Problems, vol 2006, Article ID 83910, 32 pages, 2006 17 X Hao, L Liu, and Y Wu, “Positive solutions for nonlinear nth-order singular nonlocal boundary value problems, ” Boundary ... second-order boundary- value problems, ” Nonlinear Analysis Theory, Methods & Applications, vol 23, no 6, pp 755–765, 1994 16 R P Agarwal and I Kiguradze, “Two-point boundary value problems for ... single and multiple solutions to singular positone boundary value problems, ” Journal of Differential Equations, vol 175, no 2, pp 393–414, 2001 P R Agarwal and D O’Regan, “Singular discrete boundary...

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... singular Neumann boundary value problems, ” Positivity, vol 12, no 3, pp 555–569, 2008 D.-Q Jiang and H.-Z Liu, “Existence of positive solutions to second order Neumann boundary value problems, ” ... J.-P Sun and W.-T Li, “Multiple positive solutions to second-order Neumann boundary value problems, ” Applied Mathematics and Computation, vol 146, no 1, pp 187–194, 2003 10 Boundary Value Problems ... 2 Boundary Value Problems Recently, the authors discussed second-order superlinear repulsive singular Neumann boundary value problems by using a nonlinear alternative of Leray-Schauder and...

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... 1.8 and 3.5 and Chapter gives a very applied flavor Chapter reviews solution techniques and theory of ordinary differential equations and boundary value problems Equilibrium forms of the heat and ... Nonhomogeneous Linear Equations 14 Boundary Value Problems 26 Singular Boundary Value Problems 38 Green’s Functions 43 Chapter Review 51 Miscellaneous Exercises 51 Fourier Series and Integrals 59 1.1 1.2 ... BOUNDARY VALUE PROBLEMS FIFTH EDITION This page intentionally left blank BOUNDARY VALUE PROBLEMS AND PARTIAL DIFFERENTIAL EQUATIONS DAVID L POWERS...

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... Order Boundary Value Problems This section is devoted to the study of the second order boundary value problem (BVP) Heikkilä Boundary Value Problems 2011, 2011:24 http://www.boundaryvalueproblems.com/content/2011/1/24 ... initial and boundary value problems Int J Pure Appl Math 17(1), 119–138 (2004) 15 Heikkilä, S, Seikkala, S: On singular, functional, nonsmooth and implicit phi-Laplacian initial and boundary value problems ... singular nonlinear distributional and impulsive initial and boundary value problems Boundary Value Problems 2011 2011:24 Submit your manuscript to a journal and benefit from: Convenient online...

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... is also continuous and nondecreasing and satisfies ψ(u) > for u > and ψ(0) = Consequently, φ ∈ J Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 ... (10) Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 In this case, the boundary value problem is nonautonomous, and thus, this problem ... Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of and they proved the existence of positive solutions...

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... is also continuous and nondecreasing and satisfies ψ(u) > for u > and ψ(0) = Consequently, φ ∈ J Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 ... (10) Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 In this case, the boundary value problem is nonautonomous, and thus, this problem ... Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of and they proved the existence of positive solutions...

Ngày tải lên: 21/06/2014, 00:20

... x y − z, where y, z ∈ P and y ≤ τ x , z ≤τ x Boundary Value Problems 3 Singular Third- Order Boundary Value Problem This section discusses singular third- order boundary value problem 1.1 Let ... 589–603, 2005 10 Boundary Value Problems 13 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, ... nonhomogeneous boundary value problems, ” Applied Mathematics Letters, vol 22, no 1, pp 45–51, 2009 J R Graef and J R L Webb, Third order boundary value problems with nonlocal boundary conditions,”...

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... equation,” A Neamaty and R Darzi use the variational iteration method together with the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems, since these ... 2 Boundary Value Problems In the third paper, “Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville ... obtained, and the blowup of time derivatives at the quenching point is verified In the fifth paper, “The boundary value problem of the equations with nonnegative characteristic form,” L Li and M Tian...

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... point boundary value problems, ” Applied Mathematics and Computation, vol 180, no 1, pp 318–329, 2006 H Liang and P Weng, “Existence and multiple solutions for a second-order difference boundary value ... B 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 X Cai and J Yu, ... radius r, and let ∂Br denote its boundary Lemma 2.6 Mountain Pass Lemma 10, 11 Let E be a real Banach space and J ∈ C1 E, Ê satisfying the (PS) condition Suppose that J 0 and Boundary Value Problems...

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... Henderson and A Peterson, Boundary value problems for functional difference equations,” Applied Mathematics Letters, vol 9, no 3, pp 57–61, 1996 S J Yang, B Shi, and M J Gai, Boundary value problems ... J 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, ... of Pure and Applied Mathematics, vol 36, no 12, pp 685–705, 2005 X Deng and H Shi, “On boundary value problems for second order nonlinear functional difference equations,” Acta Applicandae Mathematicae,...

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... to boundary value problems on time scales,” Advances in Difference Equations, vol 2004, no 2, pp 93–109, 2004 12 C C Tisdell and H B Thompson, “On the existence of solutions to boundary value problems ... method and three point boundary value problems on time scales,” Applied Mathematics Letters, vol 18, no 5, pp 577–585, 2005 21 A C Peterson, Y N Raffoul, and C C Tisdell, “Three point boundary value ... value problems on time scales,” Journal of Difference Equations and Applications, vol 10, no 9, pp 843–849, 2004 22 R E Bellman and R E Kalaba, Quasilinearization and Nonlinear Boundary- Value Problems, ...

Ngày tải lên: 21/06/2014, 16:20

... n-order periodic boundary 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 ... Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales Liu Yang∗1,2 and Weiguo Zhang1 College of Science, University of Shanghai for Science and ... existence of solutions for boundary value problems on time scales have attracted many author’s attention Recently in [13], the authors considered positive solutions for boundary value problem of the...

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... equations with φe Laplacian,” Boundary Value Problems, vol 2007, Article ID 18961, 16 pages, 2007 J V Baxley and G S Gersdorff, “Singular reaction-diffusion boundary value problems, ” Journal of Differential ... Sturm-Liouville problems, ” submitted S Stanˇ k, G Pulverer, and E B Weinmuller, “Analysis and numerical simulation of positive and e ¨ dead-core solutions of singular two-point boundary value problems, ” ... of positive and dead core solutions of singular second-order differential equations with a parameter was discussed for Dirichlet boundary conditions in 1, and for mixed and Robin boundary conditions...

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... 4, pp 527–535, 2001 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 ... for third- order nonlinear p-Laplacian m-point boundary value problems on time scales,” Discrete Dynamics in Nature and Society, vol 2008, Article ID 143040, 16 pages, 2008 12 Y H Su, S Li, and ... theorem and triple fixed point theorem, respectively In 18 , Zhou and Ma firstly studied the existence and iteration of positive solutions for the following third- order generalized right-focal boundary...

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