Continuous dependence and differentiation of solutions of finite difference equations.

Henderson, Johnny; Lee, Linda

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Boundary value problem for differential and difference second order systems

Janusz Traple (1977)

Annales Polonici Mathematici

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The boundary value problems for ordinary non-linear differential and difference equations of the fourth order

Zdzisław Denkowski (1970)

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Existence results for q-difference inclusions with three-point boundary conditions involving different numbers of q

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.