Existence of solutions for differential equations systems with p-Laplacian at resonance

oleh: Weihua JIANG, Cailian ZHOU, Qingmin LI

Format: Article
Diterbitkan: Hebei University of Science and Technology 2017-08-01

Deskripsi

In order to study the existence of solutions for boundary value problems at resonance with nonlinear fractional differential operator, a generalization of Mawhin's continuous theorem is introduced. By defining suitable Banach space and norm, constructing the proper operators and using the extension of Mawhin continuation theorem, the existence of solutions for fractional differential equations systems boundary value problem with p-Laplacian at resonance is studied. An example is given to illustrate the main results. The results are the improvement and generalization of some existing results of boundary value problems at resonance.