Solvability of Boundary Value Problems for Some Functional Differential Equations

数学季刊 ›› 1996, Vol. 11 ›› Issue (3): 13-18.

Solvability of Boundary Value Problems for Some Functional Differential Equations

Dept. of Math., Huazhong University of Science and Technology,Wuhan,430074

收稿日期:1993-10-20 出版日期:1996-09-30 发布日期:2024-12-24

Solvability of Boundary Value Problems for Some Functional Differential Equations

Dept. of Math., Huazhong University of Science and Technology,Wuhan,430074

Received:1993-10-20 Online:1996-09-30 Published:2024-12-24

摘要/Abstract

摘要： This paper considers the following boundary value problems for functional differential equations: x' (t) = f(t, x_t) (0<t<b) ,x₀ = x_1, and x"(t) = f(t,x_t, x' (t)) (0<t<b) , x(b) = B. By using certain fixed point theorem based on degree theory,some sufficient conditions for solvability of the above problems are given.

关键词: functional differential equation, boundary value problem, fixed point theorem ,

Abstract: This paper considers the following boundary value problems for functional differential equations: x' (t) = f(t, x_t) (0<t<b) ,x₀ = x_1, and x"(t) = f(t,x_t, x' (t)) (0<t<b) , x(b) = B. By using certain fixed point theorem based on degree theory,some sufficient conditions for solvability of the above problems are given.

Key words: functional differential equation, boundary value problem, fixed point theorem ,

中图分类号:

O175

胡适耕, 洪世煌. Solvability of Boundary Value Problems for Some Functional Differential Equations[J]. 数学季刊, 1996, 11(3): 13-18.

Hu Shigeng, Hong Shihuang. Solvability of Boundary Value Problems for Some Functional Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 1996, 11(3): 13-18.

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Solvability of Boundary Value Problems for Some Functional Differential Equations

Solvability of Boundary Value Problems for Some Functional Differential Equations

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