Solvability of two-point boundary value problems for systems of nonlinear differential equations of the form \(y''=g(t,y,y',y'')\) (Q804776)
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scientific article; zbMATH DE number 4202720
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of two-point boundary value problems for systems of nonlinear differential equations of the form \(y''=g(t,y,y',y'')\) |
scientific article; zbMATH DE number 4202720 |
Statements
Solvability of two-point boundary value problems for systems of nonlinear differential equations of the form \(y''=g(t,y,y',y'')\) (English)
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1990
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The authors obtain conditions for solving two point boundary value problems for systems of nonlinear differential equations of the form \(y''=g(t,y,y',y'')\), where g is a Carathéodory function satisfying Bernstein-Nagumo type conditions with respect to \((y,y')\) and nonexpansive in \(y''\). This work is related to an earlier work of the first and second author [Ann. Pol. Mat. 54, No.3, 195-226 (1991)].
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two point boundary value problems
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nonlinear differential equations
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Bernstein-Nagumo type conditions
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nonexpansive
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