BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF NONLINEAR SECOND ORDER DIFFERENTIAL DFFERENCE EQUATIONS

Citation:

Miao Shumei.BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF NONLINEAR SECOND ORDER DIFFERENTIAL DFFERENCE EQUATIONS[J].Chinese Annals of Mathematics B,1995,16(2):261~266
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Authors:

Miao Shumei;
Abstract: The author studies the boundary value problems for systems of nonlinear second order differential difference equations and adopts a new-type Nagumo condition, in which the control function is a vector-valued function of several variables and which can guarantee simultaneously and easily finding a priori bounds of each component of the derivatives of the solutions. Under this new-type Nagumo condition the existence results of solution are proved by means of differential inequality technique.

Keywords:

Boundary value problem, Nonlinear differential difference system,New-type Nagumo condition, Existence of solution, Differential inequality.

Classification:

34K10, 34B15
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