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BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF NONLINEAR SECOND ORDER DIFFERENTIAL DFFERENCE EQUATIONS |
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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 |
Page view: 1025
Net amount: 725 |
Authors: |
Miao Shumei; |
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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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