MULTIPLE SOLUTIONS FOR A KIRCHHOFF-TYPE SECOND-ORDER IMPULSIVE DIFFERENTIAL EQUATION ON THE HALF-LINE

被引：6

作者：

Afrouzi, Ghasem A. ^{[1
]}

Heidarkhani, Shapour ^{[2
]}

Moradi, Shahin ^{[1
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran

[2] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

来源：

QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 01期

关键词：

Half-line; impulsive differential equation; Kirchhoff-type problem; three solutions; variational methods; BOUNDARY-VALUE PROBLEM; SIGN-CHANGING SOLUTIONS; POSITIVE SOLUTIONS; HAMILTONIAN-SYSTEMS; OSCILLATION; EXISTENCE;

D O I：

10.2989/16073606.2020.1850537

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents several sufficient conditions for the existence of at least three weak solutions for the following Kirchhoff-type second-order impulsive differential equation {K(integral(+infinity)(0) 0 (|u'(t)|(2) + q(2){u(t)|(2))dt)(u ''(t) + q(2)u(t)) = lambda f(t; u(t)); t is an element of [0;+infinity); t not equal t(j); Delta(u'(t(j))) = mu I-j(u(t(j))); u' (0+) = g(u(0)); u' (+infinity) = 0 where lambda and mu are referred to as two control parameters and f : [0;+infinity)xR -> R is an L-2 -Caratheodory function. Our technical approach is based on variational methods. The main results are also demonstrated with examples.

引用

页码：109 / 141

页数：33

共 46 条

[1]

Agarwal R.P., 2001, Infinite interval problems for differential, difference and integral equations

[2]

[Anonymous], 1978, North-Holland Math. Stud, DOI DOI 10.1016/S0304-0208(08)70870-3

[3] Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities [J].