Nonlocal differential equations with (p,q) (p,q) growth

2023/02/01 by Christopher S. Goodrich · 4 citations
Mathematics · Computer Science · Engineering · #Nonlinear Differential Equations Analysis #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations

paper · pdf · doi:10.1112/blms.12798

Abstract

Abstract The author considers a class of nonlocal convolution‐type ordinary differential equations of the form where is a continuous function satisfying growth — that is, there exist constants , and such that where . Existence of at least one positive solution to this equation when subjected to given boundary data is studied by means of topological fixed point theory.

Citations

• A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity

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