equations— initial and boundary value problems

... T (n) are degenerate matrices, and established the solvability of initial value problems (IVPs) and periodic boundary-value problems (BVPs) for this special class of SDEs The index notion for ... Acta Math Vietnam DOI 10.1007/s40306-013-0026-z ON INITIAL AND BOUNDARY VALUE PROBLEMS FOR IMPLICIT DYNAMIC EQUATIONS ON TIME SCALES Nguyen Chi Liem Received: 29 ... theory and practice The general form of DAEs is f t, x (t), x(t) = 0, (1) At x (t) = Bt x(t) + qt , (2) and its linearization has the form where A and B are given matrix functions Equations (1) and

Ngày tải lên: 16/12/2017, 10:52

... x and y2  sin x , then y1   2sin x y2  cos x , so y1  4 cos x  4 y1 and y2  4sin x  4 y2 Thus y1  y1  and y2  y2  If y1  e3 x and y2  e 3 x , then y1  e3 x and ... 1.1 DIFFERENTIAL EQUATIONS AND MATHEMATICAL MODELS The main purpose of Section 1.1 is simply to introduce the basic notation and terminology of differential equations, and to show the student what ...  The verifications of the suggested solutions in Problems 17-26 are similar to those in Problems 1-12 We illustrate the determination of the value of C only in some typical cases However, we

Ngày tải lên: 20/08/2020, 13:33

... method for solving boundary value problems for the nonlinear fourth-order differential equations Boundary value problems for the nonlinear fourth order equations with dif-ferent boundary conditions ... boundary value problems, the development of applied fields such as mechanics, physics, biology, etc always yields complex new problems for the equations as well as boundary conditions These problems ... AND TRAINING VIETNAM ACADEMY OF SCIENCE AND ECHNOLOGY GRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGY …… ….***………… NGÔ THỊ KIM QUY ITERATIVE METHOD FOR SOLVING TWO-POINT BOUNDARY VALUE

Ngày tải lên: 01/04/2021, 19:17

... THEORY AND PROBLEMS OF FOURIER ANALYSIS with applications to BOUNDARY VALUE PROBLEMS MURRAY R $PIEBEL INCLUDING 205 SOLVED PROBLEMS SCHAUM'S OUTLINE SERIES Trang 2 SCHAUMỖS OUTLINE OF THEORY AND ... R SchaumỖs outline of theory and problems of Fourier analysis (SchaumỖs outline series) 1 Fourier analysis 2 Boundary value problems I Title II Title: Theory and problems of Fourier analysis ... becomes V2u = 0 Trang 16 10 BOUNDARY VALUE PROBLEMS [CHAP 1 (a) If the initial temperature is f(x) and the ends are kept at temperature zero, set up the boundary value problem (b) Work part (a)

Ngày tải lên: 31/03/2014, 15:23

... differential equation Neumann boundary value problems. 2 Boundary Value Problems Recently, the authors 4 discussed second-order superlinear repulsive singular Neumann boundary value problems by using a ... existence and uniqueness of positive solutions for two classes of nonlinear perturbed Neumann boundary value problems for second-order differential equations. The theorems for Neumann boundary value problems ... Corporation Boundary Value Problems Volume 2010, Article ID 494210, 10 pages doi:10.1155/2010/494210 Research Article Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

Ngày tải lên: 21/06/2014, 11:20

... 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

... boundary value problems with integral boundary conditions and one-dimensional p-Laplacian Nonlinear Anal 70, 3119–3126 (2009) [6] Feng, M, Xie, D: Multiple positive solutions of multi-point boundary ... impulsive dynamic boundary value problems on time scale J Diff Equ Appl 8, 345–356 (2002) [30] Li, JL, Shen, JH: Existence results for second-order impulsive boundary value problems on time scales ... [1–3]) At the same time, the boundary value problems for impulsive differential equations and impulsive difference equations have received much attention [4–18] On the other hand, recently, the theory

Ngày tải lên: 21/06/2014, 17:20

... acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time ... unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism ... increasing homeo- morphism and positive homomorphism. 1 1 Introduction With the development of boundary value problems for differential equations [1–5], dif- ference equations [6, 7], and the theory of

Ngày tải lên: 21/06/2014, 17:20

... Laplacian,” Boundary Value Problems, vol 2007, Article ID 18961, 16 pages, 2007 4 J V Baxley and G S Gersdorff, Singular reaction-diffusion boundary value problems, ” Journal of ... and E B Weinmuller, “Analysis and numerical solutions of positive and dead e ¨ core solutions of singular Sturm-Liouville problems, ” submitted 7 S Stanˇ k, G Pulverer, and ... and E B Weinmuller, “Analysis and numerical simulation of positive and e ¨ dead-core solutions of singular two-point boundary value problems, ” Computers & Mathematics

Ngày tải lên: 21/06/2014, 18:20

... periodic boundary value problems of first-order differential equations,” Journal of Mathematical Analysis and Applications, vol. 325, no. 1, pp. 226–236, 2007. 13 X. Liu, “Nonlinear boundary value problems ... Nonlinear Science, Series A: Monographs and Treatises, World Scientific, River Edge, NJ, USA, 1995. 18 A. S. Vatsala and Y. Sun, “Periodic boundary value problems of impulsive differential equations,” ... R and for all t ∈ T, ft  T, yt  T  ft, yt. Furthermore, to ensure that the boundary value problem is not at resonance, we assume that η  e a T, 0 < 1. Consider the linear boundary

Ngày tải lên: 21/06/2014, 20:20

... Equations and Applications, vol 6, no 4, pp 417–429, 2000 8 J Henderson, A Peterson, and C C Tisdell, On the existence and uniqueness of solutions to boundary value problems ... pp 911–920, 2006 13 Y Tian and W Ge, Existence and uniqueness results for nonlinear first-order... Anderson, “Eigenvalue intervals for a two-point boundary value problem on a measure ... 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,

Ngày tải lên: 21/06/2014, 20:20

... acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time ... unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism ... increasing homeo- morphism and positive homomorphism. 1 1 Introduction With the development of boundary value problems for differential equations [1–5], dif- ference equations [6, 7], and the theory of

Ngày tải lên: 21/06/2014, 20:20

... Corporation Boundary Value Problems Volume 2009, Article ID 103867, 34 pages doi:10.1155/2009/103867 Research Article An Approximation Approach to Eigenvalue Intervals for Singular Boundary Value Problems ... least one solution u ∈ C 0, ∩ C1 0, and u > for t ∈ 0, ; ii if λ > λ∗ , 1.4 has no solutions 32 Boundary Value Problems Example Example 3.1 Consider the boundary value problem −√ u where λ > Define ... eigenvalue intervals for ă singular boundary value problems with sign changing nonlinearities, Mathematical Inequalities and Applications, vol 11, no 1, pp 81–98, 2007 H Lu, D O’Regan, and R

Ngày tải lên: 21/06/2014, 20:20

... necessary and sufficient conditions for the existence of solutions to the above problems is important and interesting, but difficult Thus, researches in this respect are rare Boundary Value Problems ... on any compact subintervals of 0, 10 Boundary Value Problems Proof of Theorem 1.5 Suppose that u1 t and u2 t are C 0, positive solutions to 1.1 and 1.2 , and at least one of ≡ them is a smooth ... then a necessary and sufficient condition for the problem 1.1 and 4.6 to have smooth positive solution is that 0< f s, s, s ds < ∞ 4.8 Boundary Value Problems 13 Theorem 4.6 Suppose H and 4.8 hold,

Ngày tải lên: 21/06/2014, 20:20

... 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 ... 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 ... phi-Laplacian 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...

Ngày tải lên: 20/06/2014, 22:20

... nonlinear boundary value problems for the oneu dimensional p-Laplacian, Appl Math Lett 14 (2001), no 2, 189–194 214 [10] [11] Discrete initial and boundary value problems R Man´ sevich and F Zanolin, ... Discrete initial and boundary value problems Example 2.2 Consider the boundary value problem ∆2 u(k − 1) = k β α + u(k) − A, u(k) u(0) = u(T + 1) = k ∈ N, (2.23) with p = 2, α > 0, ≤ β < 1, and A ... Agarwal and D O’Regan, Nonpositone discrete boundary value problems, Nonlinear Anal 39 (2000), no 2, 207–215 R P Agarwal, D O’Regan, and V Lakshmikantham, Existence criteria for singular initial value...

Ngày tải lên: 23/06/2014, 00:20

... principles and boundary value problems, mathematical models in engineering, biology and medicine,” in Proceedings of the International Conference on Boundary Value Problems, A Cabada, E Liz, and J ... existence and uniqueness of solutions of boundary value problems for these equations without the standard assumption about smallness of the norms of the operators A and B Journal of Inequalities and ... g t for t ∈ 0, ∞ Maximum Boundaries Principles in Existence and Uniqueness of Boundary Value Problems Consider the boundary value problems of the following type Mx t ≡ x t − Sx t − Ax t lx c,...

Ngày tải lên: 22/06/2014, 03:20

... one, hand side, the moments of type μn and on the other hand the moments of type μn and by comparing 2.26 and 2.30 , we see that here, the mentioned isometry situation is matched—provided the initial ... suitable time scales This might be of ¨ importance for applications and numerical investigations of the underlying eigenvalue and spectral problems Let us therefore restrict to the purely discrete case, ... 2002 X.-M Liu and C Quesne, “Even and odd q-deformed charge coherent states and their nonclassical properties,” Physics Letters A, vol 317, no 3-4, pp 210–222, 2003 K A Penson and A I Solomon,...

Ngày tải lên: 21/06/2014, 20:20

... 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...

Ngày tải lên: 17/02/2014, 14:20