Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses

被引:4
作者
Yao, Wangjin [1 ]
机构
[1] Putian Univ, Fujian Key Lab Financial Informat Proc, Putian 351100, Peoples R China
关键词
Three-point BVPs; Variational methods; Critical point theory; Instantaneous impulse; Noninstantaneous impulse; DIFFERENTIAL-EQUATIONS; VARIATIONAL APPROACH; PERIODIC-SOLUTIONS;
D O I
10.1186/s13661-023-01702-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, three-point boundary value problems for second-order p-Laplacian differential equations with instantaneous and noninstantaneous impulses are studied. The existence of at least one classical solution and infinitely many classical solutions is obtained by using variational methods and critical point theory. In addition, some examples are given to illustrate our main results.
引用
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页数:13
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