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

页数：17

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