Variational approach to Kirchhoff-type second-order impulsive differential systems-Reference-Cited by-同舟云学术

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Variational approach to Kirchhoff-type second-order impulsive differential systems

Published:2024-01-01 Issue:1 Volume:22 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Yao Wangjin¹,Zhang Huiping²

Affiliation:

1. Fujian Key Laboratory of Financial Information Processing, Putian University , Putian , 351100 , P.R. China

2. School of Mathematics and Statistics, Fujian Normal University , Fuzhou , 350117 , P.R. China

Abstract

Abstract In this study, we consider a Kirchhoff-type second-order impulsive differential system with the Dirichlet boundary condition and obtain the existence and multiplicity of solutions to the impulsive problem via variational methods.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/math-2024-0025/pdf

Reference25 articles.

1. G. Kirchhoff, Vorlesungen über Mathematische Physik: Mechanik, Teubner, Leipzig, 1883.

2. S. Bernstein, Sur une classe d’équations fonctionnelles aux dérivées partielles, Bull. Acad. Sci. URSS. Sér. Math. (Izvestia Akad. Nauk SSSR) 4 (1940), no. 1, 17–26.

3. S. I. Pohožaev, On a class of quasilinear hyperbolic equations, Sb. Math. 25 (1975), no. 1, 145–158.

4. J. L. Lions, On some questions in boundary value problems of mathematical physics, North-Holland Math. Stud. 30 (1978), 284–346.

5. J. Q. Chen, Multiple positive solutions to a class of Kirchhoff equation on R3 with indefinite nonlinearity, Nonlinear Anal. 96 (2014), 134–145.

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