Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (5): 1036-1042.
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WANG Tingting, LI Yongxiang
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Abstract: By using Leray-Schauder fixed-point theorem, we discuss the existence and uniqueness of solutions for the boundary value problems of nonlinear second-order integro-differential equation, where f: [0,1]×R2→R is continuous, S is a Fredholm type integral operator. Under proper inequality conditions of the nonlinear term f(t,x,y), the existence and uniqueness of solutions of the problem are obtained, and the results are applied to bending elastic beam equation.
Key words: integro-differential equation, boundary value problem, existence and uniqueness, fixed-point theorem, elastic beam equation
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WANG Tingting, LI Yongxiang. Existence and Uniqueness of Solutions for Boundary Value Problem of a Class of Second-Order Integro-Differential Equations[J].Journal of Jilin University Science Edition, 2022, 60(5): 1036-1042.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2022/V60/I5/1036
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