ON BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER DISCRETE INCLUSIONS ´ PETR STEHLIK AND CHRISTOPHER C ppt

... STEHL ´ IK AND CHRISTOPHER C. TISDELL Received 8 October 2004 We prove some existence theorems regarding solutions to boundary value problems for systems of second-order discrete inclusions. For ... R d satisfies the discrete inclusion for k = 1, ,T and the bound- ary conditions for k = 0andk = T +1. In Section 2, we show that under certain conditions on the r...

Ngày tải lên: 23/06/2014, 00:20

... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Periodic boundary value problems for nonlinear ... Equations: Periodic Solutions and Applications. Longman Scienti c and Technical, Harlow (1993) [2] Benchohra, M, Henderson, J, Ntouyas, SK: Impulsive Differential Equations an...

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... be a cone in Banach space E. Let γ, θ be nonnegative continuous convex functionals on P , α be a nonnegative continuous concave functional on P , and ψ b e 5 u is concave and decreasing on[ 0, ... nonnegative continuous convex functionals on P , α be a nonnegative contin- uous concave functional on P and ψ be a nonnegative continuous functional on P. Then for positive numbe...

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... 2.7. The converse follows trivially and the proof is complete. 10 Advances in Difference Equations 20 M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkh ¨ auser, ... Advances in Difference Equations 3. The Nonlinear Problem In this section we give sufficient conditions for the existence of periodic solutions of 1.3.To this end, defin...

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... on P , α be a nonnegative contin- uous concave functional on P and ψ be a nonnegative continuous functional on P. Then for positive numbers a, b, c and d, we define the following convex sets: P ... continuous if it is continuous and maps bounded sets into pre-compact sets. Definition 2.3. The map α is said to be a nonnegative continuous convex functional on a cone P of a real...

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... proved. Notice that in the applications given in Section 3, by virtue of the choice of the vec- tor function G, both systems in (3.8)andin(3.25) are linear and nonhomogeneous and the conditions (b) and ... subsequent computations. BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL DIFFERENCE EQUATIONS ON INFINITE INTERVALS MAURO MARINI, SERENA MATUCCI, AND PAVEL ˇ REH ´ AK Received...

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... paper can be generalized to eigenvalue problems of boundary value problems of linear beam equations which include the discrete form of any of the above boundary conditions, (2.30)through(2.34). For ... the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1. Introduc...

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... uniform convergence on compact intervals. Let X be a Banach space. Consider space Ꮿ( R,X)ofallX-valued functions continuous on the real axis. Let {K k } k∈N be a countable collection of compact ... Asymptotic boundary value problems for evolution inclusions Section 3 gives an example that fully uses the strength of the continuation principle proposed by Andres and Bader in [1]...

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... Engineering and Communication, Brno University of Technology, Technick ´ a 8, 61600 Brno, Czech Republic 5 Department of Complex System Modeling, Faculty of Cybernetics, Taras, Shevchenko National University ... properly cited. Conditions are derived of the existence of solutions of linear Fredholm’s boundary- value problems for systems of ordinary differential equations with cons...

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... solutions for some boundary problems for systems of nonlinear second-order differential equations with multipoint boundary value conditions on infinite intervals in Banach spaces. The conditions for ... Nonlinear Second-Order Differential Equations on Infinite Intervals in Banach Spaces Xingqiu Zhang School of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, C...

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