Boundary value problem for differential and difference second order systems
Janusz Traple (1977)
Annales Polonici Mathematici
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Janusz Traple (1977)
Annales Polonici Mathematici
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Zdzisław Denkowski (1970)
Annales Polonici Mathematici
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Sotiris K. Ntouyas, Thanin Sitthiwirattham, Jessada Tariboon (2014)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, we study a new class of three-point boundary value problems of nonlinear second-order q-difference inclusions. Our problems contain different numbers of q in derivatives and integrals. By using fixed point theorems, some new existence results are obtained in the cases when the right-hand side has convex as well as noncovex values.
Eloe, Paul W. (2004)
Advances in Difference Equations [electronic only]
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Henderson, Johnny, Johnson, Alvina M. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Henderson, Johnny, Lauer, Susan D. (1997)
Abstract and Applied Analysis
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Henderson, Johnny, Ma, Ding (2006)
Boundary Value Problems [electronic only]
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Yuan, Chengjun (2010)
Discrete Dynamics in Nature and Society
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Rektorys, K.
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Emil Vitásek (2000)
Applications of Mathematics
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It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems. ...