EXISTENCE AND UNIQUENESS OF SOLUTIONS OF HIGHER-ORDER ANTIPERIODIC DYNAMIC EQUATIONS ALBERTO CABADA potx

... 3,wewillobtaininSections4 and 5 the expression of Green’s function and a sufficient condition for the existence and uniqueness of solutions of the dynamic equations of first- and second-order, respectively; ... result that assures the existence and uniqueness of solutions of the dynamic equation (L 1 ) in the sector [α,β], with α and β a pair of couple...

Ngày tải lên: 23/06/2014, 00:20

... 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page 8 of 9 RESEA R C H Open Access On existence and uniqueness of positive solutions to a class of fractional boundary value problems J Caballero * , J Harjani and K Sadarangani * ... 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page 2 of 9 In the sequel, we present a sufficient condition for t...

Ngày tải lên: 20/06/2014, 22:20

... 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page 2 of 9 In the sequel, we present a sufficient condition for the existence and uniqueness of posit ive solutions for Problem (2) (positive solution means x(t)>0fort Î (0,1)).The proof of this ... 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page 3 of 9 RESEA R C H Open Access On existence...

Ngày tải lên: 21/06/2014, 00:20

... Levinson, N: Theory of Ordinary Differential Equations. McGraw-Hill, New York (1955) 17. Anderson, JR: Local existence and uniqueness of solutions of degenerate parabolic equations. Commun Partial ... Q T , u 1 , u 2 ∈ R . 2 Existence and uniqueness In this section, we show the local existence and uniqueness of weak solutions of (1.1)- (1.3). First, we show t...

Ngày tải lên: 21/06/2014, 03:20

... in Difference Equations Volume 2010, Article ID 197263, 11 pages doi:10.1155/2010/197263 Research Article Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like ... existence and uniqueness of periodic solutions of the above equation are given by using Mawhin’s continuation theorem. Our results are new and extend so...

Ngày tải lên: 21/06/2014, 18:20

... nontrivial solution of the BVP 1.1 and 1.2. Next, we show the uniqueness of solutions of the BVP 1.1 and 1.2. Assume, to the contrary, that there exist two nontrivial solutions y 1 and y 2 of the ... the uniqueness and iteration of positive solutions of discrete fourth-order equation under Lidstone boundary conditions. We would like to mention some result...

Ngày tải lên: 21/06/2014, 18:20

... 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 ... 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,...

Ngày tải lên: 21/06/2014, 20:20

... pages doi:10.1155/2009/362983 Research Article Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems Minghe Pei 1 and Sung Kag Chang 2 1 Department of Mathematics, Bei Hua University, ... Differential Equations, World Scientific, Teaneck, NJ, USA, 1986. 3 R. P. Agarwal and F H. Wong, Existence of positive solutions for non-positive...

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... pages doi:10.1155/2009/421310 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 ... by Juan Jos ´ e Nieto We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary val...

Ngày tải lên: 21/06/2014, 20:20

... higher order nonlinear equations, ” Differential Equations and Dynamical Systems, vol. 2, no. 2, pp. 153–160, 1994. 6 X. Lin, D. Jiang, and X. Li, Existence and uniqueness of solutions for singular ... 18. In virtue of the theorem, we consider the existence and uniqueness of solutions for the following singular higher-order continuous and discrete boundary va...

Ngày tải lên: 22/06/2014, 00:20