fourier series transforms and boundary value problems solutions

... Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations Alexander Domoshnitsky, Abraham Maghakyan, and Roman Shklyar Department of Mathematics and Computer ... proposed Results on existence and uniqueness of solutions for various boundary value problemsare obtained on the basis of the maximum principles Copyrightq 2009 Alexander Domoshnitsky et al This ... neutral functional differential equation 1.1 and on this basis we obtain results on existence and uniqueness of solutions of variousboundary value problems Although several assertions were presented

Ngày tải lên: 22/06/2014, 03:20

... initial value problems (IVPs) and periodic boundary-value problems (BVPs) for this special class of SDEs The index notion for linear SDEs with time-varying coefficients was introduced in [8,16] and ... theory and practice The general form of DAEs is f t, x(t ), x(t ) and its linearization has the form where A . and B .are given matrix functions Equations (1) and (2) can be seen in many real problems, ... ) = 2e 2h(t, t0)Ptcan. Trang 104 Boundary value problem and Green’s functionBy using the results mentioned in Sect.3, we study the existence and uniqueness of solutions of two point BVPs of LIDEs

Ngày tải lên: 16/12/2017, 10:52

... AS GENERAL AND PARTICULAR SOLUTIONS 33 If v0  and 0 y0 20, then v  and at 1 2 34 On Earth: v 32t , so v0 tv0 32 at maximum height (when v ) Substituting 0 this value of t and y144 in ... that 4 C a b Then the function INTEGRALS AS GENERAL AND PARTICULAR SOLUTIONS This section introduces general solutions and particular solutions in the very simplest situation — a differential ... then gives the solutions 3r 4 0 r   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

Ngày tải lên: 20/08/2020, 13:33

... 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 ... Series or Expansions 67 Chapter FOURIER INTEGRALS AND APPLICATIONS The Need for Fourier Integrals The Fourier Integral Equivalent Forms of Fourier’s Integral Theorem Fourier Transforms Fourier ... by Fig 1-4 Fig 1-5 Trang 11CHAP 1] BOUNDARY VALUE PROBLEMS 5 METHODS OF SOLVING BOUNDARY VALUE PROBLEMS There are many methods by which boundary value problems involving linear partial differential

Ngày tải lên: 31/03/2014, 15:23

... Existence of Positive, Negative, and Sign-Changing Solutions to Discrete Boundary Value Problems Bo Zheng,1 Huafeng Xiao,1 and Haiping Shi2 1 School of Mathematics and Information Sciences, Guangzhou ... 1, and 0 < Vt ≤ γ < λk1 , then1.1 has at least five solutions Moreover, one of the following cases occurs: i k is even and 1.1 has two sign-changing solutions, ii k is even and ... is even and 1.1 has six solutions, three of which are of the same sign, iii k is odd and 1.1 has two sigh-changing solutions, iv k is odd and 1.1 has three solutions of the same sign.

Ngày tải lên: 21/06/2014, 05:20

... 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 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, ... Research Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations Yang Shujie and Shi Bao Institute of Systems Science and Mathematics,

Ngày tải lên: 21/06/2014, 11:20

... of positive and dead core solutions of singular second-order differential equations with a parameter was discussed for Dirichlet boundary conditions in1,2 and for mixed and Robin boundary conditions ... respectively, and present numerical solutions These problems are mathematical models for steady-state diffusion and reactions of several chemical species see, e.g., 4,5,8,9 Positive and dead-core solutions ... 262854, 17 pagesdoi:10.1155/2010/262854 Research Article Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with φ-Laplacian Svatoslav Stan ˇek Department of Mathematical

Ngày tải lên: 21/06/2014, 18:20

... and uniqueness of smooth positivesolutions to the second-order singular m-point boundary value problem1.1 and 1.2 A necessary and sufficient condition for the existence of smooth positive solutions ... investigates the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential equations A necessary and sufficient condition ... existence and uniqueness of smooth positive solutions is given by constructing lower and upper solutions and with the maximal theorem Our nonlinearity f t, u, v may be singular at v, t  0 and/or

Ngày tải lên: 21/06/2014, 20:20

... formulate and prove our main results on the existence and uniqueness of solutions for nth-order three point boundary value problem1.1, 1.2 Theorem 3.1 Assume that i there exist lower and upper solutions ... Higher-order boundary value problems were discussed in many papers in recent years; for the above-mentioned references are for two-point boundary conditions2 11,14,17–22, and nonlinear three point boundary ... study the existence and uniqueness of solutions for higher order nonlinear three point boundary value problem x n  ft, x, x, , x n−1 Trang 2with nonlinear three point boundary conditionsg

Ngày tải lên: 21/06/2014, 20:20

... Research Article Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems J Caballero Mena, J Harjani, and K Sadarangani Departamento ... Nieto, “Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions,” Boundary Value Problems, vol 2009, Article ID 708576, ... G Samko, A A Kilbas, and O I Marichev, Fractional Integrals and Derivatives Theory and Applications, Gordon and Breach Science, Yverdon, Switzerland, 1993. 15 B Ahmad and J J Nieto, “Existence

Ngày tải lên: 21/06/2014, 20:20

... 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 ... Existence and Uniqueness of Solutions for Singular Higher Order Continuous and Discrete Boundary Value Problems Chengjun Yuan, 1, 2 Daqing Jiang, 1 and You Zhang 1 1 School of Mathematics and Statistics, ... 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

Ngày tải lên: 22/06/2014, 00:20

... 8 Q Zhang, Z Qiu, and X Liu, Existence of solutions and nonnegative solutions for weighted p r -Laplacian impulsive system multi-point boundary value problems,” Nonlinear ... 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 ... authors discussed the existence of solutions of pr-Laplacian system impulsive boundary value problems. Recently, the existence and asymptotic behavior of solutions of curvature equations have

Ngày tải lên: 22/06/2014, 02:20

... EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR SOME THREE-POINT NONLINEAR BOUNDARY VALUE PROBLEMS XU XIAN AND DONAL O’REGAN Received 30 September 2004; Accepted 20 October 2004 We study the existence and ... Journal Series A: Theory and Methods 27 (1996), no 6, 645–652 [3] W Feng and J R L Webb, Solvability of m-point boundary value problems with nonlinear growth, Journal of Mathematical Analysis and ... Multidisciplinary Journal Series A: Theory and Methods 34 (1998), no 4, 489–507 [5] K S Ha and Y.-H Lee, Existence of multiple positive solutions of singular boundary value problems, Nonlinear Analysis

Ngày tải lên: 22/06/2014, 22:20

... d ;andα,β,γ,δ ∈ R.The problems (1.1), (1.2); (1.1), (1.3); (1.1), (1.4); and (1.1), (1.5) are known as boundary value problems (BVPs) on “time scales.” To understand the notation used above and ... Agarwal and D O’Regan, Nonlinear boundary value problems on time scales, Nonlinear Anal 44 (2001), no 4, 527–535 E Akin, Boundary value problems. .. Green’s functions and comparison ... ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS ON TIME SCALES JOHNNY HENDERSON, ALLAN PETERSON, AND CHRISTOPHER C. TISDELL Received 13 August 2003 and in revised form

Ngày tải lên: 23/06/2014, 00:20

... solutions of boundary value problems for p-Laplaciandynamic equations on time scales J Math Anal Appl 321, 911–920 (2006) 16 Hong, S: Triple positive solutions of three-point boundary value problems ... in Boundary Value Problems go to http://www.boundaryvalueproblems.com/authors/instructions/ For information about other SpringerOpen publications go to http://www.springeropen.comBoundary Value ... formattedPDF and full text (HTML) versions will be made available soon Existence of Positive Solutions for Nonlinear m-point Boundary Value Problems on Time Scales Boundary Value Problems 2012,

Ngày tải lên: 20/06/2014, 20:20

... nonhomogeneous boundary value problems,” Applied Mathematics Letters, vol 22, no 1, pp 45–51, 2009. 5 J R Graef and J R L Webb, “Third order boundary value problems with nonlocal boundary conditions,” ... nonlinear boundary value problems: existence, location and multiplicity results,” Journal of Mathematical Analysis and Applications, vol 339, no 2, pp 1342–1353, 2008 8 B Hopkins and N Kosmatov, ... third-order boundary value problem,” Computers & Mathematics with Applications, vol 53, no 5, pp 741–749, 2007. 10 A Boucherif and N Al-Malki, “Nonlinear three-point third-order boundary value problems,”

Ngày tải lên: 21/06/2014, 05:20

... Boundary Value Problems 15 References 1 R P Agarwal, S Pinelas, and P J Y Wong, Complementary Lidstone interpolation and boundary value problems,” Journal of Inequalities and Applications, ... Agarwal, Boundary Value Problems for Higher Order Differential Equations, World Scientific, Teaneck, NJ, USA, 1986 3 R P Agarwal and P J Y Wong, Lidstone polynomials and boundary value problems,” ... Henderson, and P J Y Wong, “General Lidstone problems: multiplicity and symmetry of solutions, ” Journal of Mathematical... “Singularities and Laplacians in boundary value problems ˚

Ngày tải lên: 21/06/2014, 11:20

... 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 ... 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,” ... the authors discussed the existence of positive solutions for ordinary differential equation Neumann boundary value problems. 2 Boundary Value Problems Recently, the authors 4 discussed second-order

Ngày tải lên: 21/06/2014, 11:20

... pagesdoi:10.1155/2010/626054 Research Article Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems Ruyun Ma, Chenghua Gao, and Ruipeng Chen Department of Mathematics, Northwest ... searching for positive solutions of singular second-order equations and systems; see for instance Chu and Torres2, Chu et al 3, Franco and Torres 4, Jiang et al 5, and Torres 6 Moreover, ... monotone iterative technique; see Cabada et al.7 and Torres and Zhang 8 The classical condition implyingH is an L p-criteria proved in Torres9 and based on an antimaximum principle given in8

Ngày tải lên: 21/06/2014, 11:20

... the second order m-point boundary value problems,” Boundary Value Problems, vol 2008, Article ID 254593, 10 pages, 2008. 6 R Ma and Y An, “Global structure of positive solutions for superlinear ... order m-point boundary value problems,” Topological Methods in Nonlinear Analysis, vol 34, no 2, pp 279–290, 2009. 7 R Ma and B Thompson, “Nodal solutions for nonlinear eigenvalue problems,” Nonlinear ... properties and nodal solutions for second-order, m-point, boundary value problems,” Nonlinear Analysis: Theory, Methods & Applications, vol 67, no 12, pp 3318–3327, 2007. 2 R Ma and D O’Regan,

Ngày tải lên: 21/06/2014, 11:20