Sequential Derivatives of Nonlinear q-Difference Equations with Three-Point q-Integral Boundary Conditions

الملخص EN

This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear q-difference equations with three-point q-integral boundary conditions.

Our results are concerned with several quantum numbers of derivatives and integrals.

By using Banach's contraction mapping, Krasnoselskii's fixed-point theorem, and Leray-Schauder degree theory, some new existence results are obtained.

Two examples illustrate our results.