Existence of Solutions to Nonlinear Fourth-Order Beam Equation

被引：0
|
作者：
Ostaszewska, Urszula [1 ]
Schmeidel, Ewa [2 ]
Zdanowicz, Malgorzata [2 ]
机构：
[1] Univ Bialystok, Fac Math, 1 M Ciolkowskiego St, PL-15245 Bialystok, Poland
[2] Univ Bialystok, Inst Comp Sci, 1 M Ciolkowskiego St, PL-15245 Bialystok, Poland
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 03期
关键词：
Boundary value problem; Fourth-order difference equation; Existence criterion; Critical point theory; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS;
D O I：
10.1007/s12346-023-00789-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the boundary value problem for a fourth-order difference equation with three quasidifferences. The new existence criterion of at least one solution to the issues considered is obtained using the theory of variational methods. The main result is illustrated in some examples.
引用
下载
收藏
页数：17
相关论文
共 50 条
  • [21] Existence of solutions to a doubly degenerate fourth-order parabolic equation
    Liang, Bo
    Li, Qingchun
    Zhang, Jihong
    Wang, Ying
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 413
  • [22] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A FOURTH-ORDER NONLINEAR EIGENVALUE PROBLEM
    KUZANEK, JF
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (07): : A774 - A774
  • [23] THE EXISTENCE OF GLOBAL SOLUTIONS FOR THE FOURTH-ORDER NONLINEAR SCHRODINGER EQUATIONS
    Guo, Chunxiao
    Guo, Boling
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (03): : 1183 - 1192
  • [24] Existence of periodic solutions of fourth-order nonlinear difference equations
    Haiping Shi
    Xia Liu
    Yuanbiao Zhang
    Xiaoqing Deng
    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2014, 108 : 811 - 825
  • [25] Existence of solutions for fourth-order nonlinear boundary value problems
    Mingzhu Huang
    Advances in Difference Equations, 2021
  • [26] Existence of solutions for fourth-order nonlinear boundary value problems
    Huang, Mingzhu
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [27] EXISTENCE OF BOUNDED SOLUTIONS FOR A CLASS OF NONLINEAR FOURTH-ORDER EQUATIONS
    Voitovich, Michail V.
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2011, 3 (02): : 247 - 266
  • [28] Existence of solutions for some fourth-order nonlinear elliptic problems
    Yang, Yang
    Zhang, Jihui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (01) : 128 - 137
  • [29] Existence of periodic solutions of fourth-order nonlinear difference equations
    Shi, Haiping
    Liu, Xia
    Zhang, Yuanbiao
    Deng, Xiaoqing
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2014, 108 (02) : 811 - 825
  • [30] Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrodinger equation in the critical case
    Hayashi, Nakao
    Naumkin, Pavel I.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 116 : 112 - 131
12345