fourier series transforms and boundary value problems

... principles and boundary value problems, mathematical... one for every s > 0 and consequently As 1 t 1/2 for t ∈ 2, ∞ and condition 2.31 is not fulfilled for s 2 and S : L∞ → ... 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, Bx ... contrast with the cases of ordinary and even partial differential equations, do not add so much in problems of existence and uniqueness for boundary value problems with delay differential equations.

Ngày tải lên: 22/06/2014, 03:20

... nonlinear boundary value problems for the one- dimensional p-Laplacian,Appl.Math.Lett.14 (2001), no. 2, 189–194. 214 Discrete initial and boundary value problems [10] R. Man ´ asevich and F. Zanolin, ... initial and boundary value problems Example 2.2. Consider the boundary value problem ∆ 2 u(k − 1) = k  u(k)  α +  u(k)  β − A, k ∈ N, u(0) = u(T +1)= 0 (2.23) with p = 2, α>0, 0 ≤ β<1, and ... initial and boundary value problems the literature (see [2, 4, 5, 6, 7, 9, 10, 11] and the references therein). However, only a few papers have discussed the discrete singular case (see [1, 3, 8] and

Ngày tải lên: 23/06/2014, 00:20

... (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 linear ... 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 ... an ordinary differential equation and algebraic relations Results on the solvability of the Cauchy problem for (2) can be found in [10]; for the boundary value problems, we can refer to [17] Together

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

... 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 Trang ... of Solving Boundary Value Problems Chapter FOURIER SERIES AND APPLICATIONS The Need for Fourier Series Periodic Functions Piecewise Continuous Fune- tions Definition of Fourier Series Dirichlet ... SCHAUMỖS OUTLINE SERIES 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

Ngày tải lên: 31/03/2014, 15:23

... 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 ... 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 ... 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,

Ngày tải lên: 21/06/2014, 05:20

... 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

... 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 ... theory, Deng and Shi studied the existence and multiplicity of the boundary value problems to a class of second-order functional difference equations Lun f n, un , un , un−1 1.1 with boundary value conditions ... Publishing Corporation Boundary Value Problems Volume 2010, Article ID 973731, 22 pages doi:10.1155/2010/973731 Research Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order

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

... 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

... 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

... third, fourth, and higher order boundary value problems, ” Journal of Mathematical Analysis and Applications, vol... lower solutions for higher order boundary value ´ problems, ” Nonlinear ... and Y S Rao, “A theory for existence and uniqueness of solutions to three-point boundary value problems, ” Journal of Mathematical... Gupta, and J.-M Xu, Existence and ... Corporation Boundary Value Problems Volume 2009, Article ID 362983, 16 pages doi:10.1155/2009/362983 Research Article Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems

Ngày tải lên: 21/06/2014, 20:20

... value problems, ” Boundary Value Problems, vol 2007, Article ID 74517, 10 pages, 2007 18 D Guo, The Order Methods in Nonlinear Analysis, Shandong Technical and Science... boundary value ... -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 ... Jiang, and X Li, Existence and uniqueness of solutions. .. Agarwal and D O’Regan, Existence theory for single and multiple solutions to singular positone boundary value problems, ”

Ngày tải lên: 22/06/2014, 00:20

... equations boundary value problems, there are many results see 1–5. Because of the nonlinearity of p-Laplacian, the results about p-Laplacian impulsive differential equations boundary value problems ... 284–302, 1997 4 J Shen and W Wang, Impulsive boundary value problems with nonlinear boundary conditions,” Nonlinear Analysis: Theory, Methods... elliptic systems with nonstandard growth conditions,” ... is small enough. [...]... boundary value problems, ” Journal of Inequalities and Applications, vol 2008, Article ID 621621, 18 pages, 2008 35 Q Zhang, Z Qiu, and X Liu, Existence of

Ngày tải lên: 22/06/2014, 02:20

... semi-positone three-point boundary value problems, Journal of Mathematical Analysis and Applications 291 (2004), no 2, 673–689 , Positive solutions for singular m-point boundary value problems with positive ... singular boundary value problems, Nonlinear Analysis Theory, Methods & Applications An International Multidisciplinary Journal Series A: Theory and Methods 27 (1996), no 6, 645–652 [3] W Feng and ... singular boundary value problems, Nonlinear Analysis Theory, Methods & Applications An International Multidisciplinary Journal Series A: Theory and Methods 21 (1993), no 5, 397–406 X Xian and D

Ngày tải lên: 22/06/2014, 22:20

... Science and Engineering, vol 61-I, Academic Press, New York, 1970 [2] R E Bellman and R E Kalaba, Quasilinearization and Nonlinear Boundary- Value Problems, Modern Analytic and Computional ... convergence for first order initial value problems when the forcing function is the sum of hyperconvex and hyperconcave functions with natural and coupled lower and upper solutions. In this paper ... α n+1 ≤ β n+1 ≤ β n on J,whereα n+1 and β n+1 are solutions of BVPs (3.6 )and( 3.7), respectively, with α = α n and β = β n . The inequalities (3.2 )and( 3.4), and (3.15)imply −α  n ≤ f  t,α n

Ngày tải lên: 22/06/2014, 22:20