VARIATIONAL METHODS TO THE FOURTH-ORDER LINEAR AND NONLINEAR DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES

被引：8

作者：

Wang, Shihan ^{[1
]}

Tian, Yu ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 06期

关键词：

Variational methods; non-instantaneous impulses; fourth-order; linear and nonlinear differential equations; BOUNDARY-VALUE PROBLEM; EXISTENCE;

D O I：

10.11948/20190413

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of solutions for the fourth-order linear and nonlinear differential equations with non-instantaneous impulses is studied by applying variational methods. The interesting point lies in that the variational structures corresponding to the fourth-order linear and nonlinear differential equations with non-instantaneous impulses are established for the first time.

引用

页码：2521 / 2536

页数：16

共 50 条

[31] Generalized Exponential Stability of Differential Equations with Non-instantaneous Impulses
Hristova, Snezhana
Ivanova, Krasimira
Kostadinov, Todor
PROCEEDINGS OF THE 43RD INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'17), 2017, 1910
[32] Practical Stability of Differential Equations with Supremum and Non-Instantaneous Impulses
Hristova, Snezhana
Dobreva, Antonia
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE20), 2021, 2333
[33] Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
Pierri, Michelle
Henriquez, Hernan R.
Prokopczyk, Andrea
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (04) : 1685 - 1708
[34] H-STABILITY OF DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
Hristova, Snezhana
Ivanova, Krasimira
DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (04): : 837 - 846
[35] VARIATIONAL METHODS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH INSTANTANEOUS AND NON-INSTANTANEOUS IMPULSES AND
Qiao, Yan
Chen, Fangqi
An, Yukun
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (03): : 1698 - 1716
[36] Lipschitz stability of nonlinear ordinary differential equations with non-instantaneous impulses in ordered Banach spaces
Chen, Pengyu
Xin, Zhen
Zhang, Xuping
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (06) : 657 - 663
[37] Approximation of solutions to abstract neutral differential equations with non-instantaneous impulses
Shahin Ansari
Muslim Malik
The Journal of Analysis, 2023, 31 (4) : 3045 - 3068
[38] Stability with Two Measures for Differential Equations with Supremum and Non-Instantaneous Impulses
Hristova, Snezhana
Dobreva, Antonia
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE20), 2021, 2333
[39] Approximation of solutions to abstract neutral differential equations with non-instantaneous impulses
Ansari, Shahin
Malik, Muslim
JOURNAL OF ANALYSIS, 2023, 31 (04): : 3045 - 3068
[40] Semilinear fractional differential equations with infinite delay and non-instantaneous impulses
Benchohra, Mouffak
Litimein, Sara
Nieto, Juan J.
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (01)

← 1 2 3 4 5 →