On singularly perturbed quasilinear systems (Q1114057)
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scientific article; zbMATH DE number 4084085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On singularly perturbed quasilinear systems |
scientific article; zbMATH DE number 4084085 |
Statements
On singularly perturbed quasilinear systems (English)
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1987
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The objective is to give sufficient conditions for the existence of solutions of a nonlinear two-point boundary value problem. We employ these results to consider the boundary layer phenomena of the quasilinear weakly coupled singularly perturbed system \[ \epsilon y''=F(t,y)y'+g(t,y)\quad (a\leq t\leq b),\quad y(a,\epsilon)=A,\quad y(b,\epsilon)=B. \]
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existence of solutions
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nonlinear two-point boundary value problem
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boundary layer phenomena
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quasilinear weakly coupled singularly perturbed system
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