一阶具有分段常数变量的微分方程的反周期和非线性边值问题

Abstract

Abstract:

The authors employ the method of upper and lower solutions coupled with the monotone iterative technique to obtain results of existence and
uniqueness for anti periodic and nonlinear boundary problems of differential equations with piecewise constant arguments x′(t)=f(t,x(t),x(［t-k］)), x(0)+h(x(T))=0\$, where \$h(θ)∈C^1(R),h′(θ)>0.

Key words: Anti periodic boundary conditions and nonlinear boundary conditions, Monotone iterative technique, Lower and upper related solutions, Differential equations with piecewise constant arguments, minimal and maximal solutions

CLC Number:

34B15

ZHANG Feng-Qin, MA Zhi-En. Antiperiodic and Nonlinear Boundary Problemsfor First Order Differential Equations withPiecewise Constant Arguments[J].Acta mathematica scientia,Series A, 2003, 23(6): 641-649.

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Antiperiodic and Nonlinear Boundary Problemsfor First Order Differential Equations withPiecewise Constant Arguments

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