loading page

Existence results for nonlinear two-parametric quantum difference equation with first-order (p,q)-derivative
  • Changlong Yu,
  • Huode Han,
  • Boya Zhang
Changlong Yu
Hebei University of Science and Technology

Corresponding Author:[email protected]

Author Profile
Huode Han
Hebei University of Science and Technology
Author Profile
Boya Zhang
Hebei University of Science and Technology
Author Profile

Abstract

In this paper, we study the solvability of a nonlinear two-parametric quantum difference equation Dirichlet boundary value problem. At first, we provide and prove the formula of changing the order of integration for (p,q)-double integral. Second, We obtain the existence and uniqueness criteria of solutions for this kind of boundary value problem by using Banach contraction mapping principle, Leray-Schauder nonlinear alternative theorem and Leray-Schauder continuation theorem. At last, we give two examples to illustrate our results.