On asymptotic solutions to boundary value problems for a class of systems of nonlinear differential equations. I (Q5941797)
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scientific article; zbMATH DE number 1640378
| Language | Label | Description | Also known as |
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| English | On asymptotic solutions to boundary value problems for a class of systems of nonlinear differential equations. I |
scientific article; zbMATH DE number 1640378 |
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On asymptotic solutions to boundary value problems for a class of systems of nonlinear differential equations. I (English)
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10 December 2002
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The asymptotic behavior of solutions to the boundary value problem \[ u''=v, \quad \varepsilon v'' + f(x,u,u') v' - g(x,u,u') v =0, \;0 < \varepsilon \ll 1, \] is studied. Asymptotic expansions of solutions are constructed and the remainders are estimated. Former works are improved and generalized.
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system of nonlinear differential equations
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boundary value problems
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asymptotic solution
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