Two point boundary value problem for differential equations with reflection of argument (Q913059)
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scientific article; zbMATH DE number 4146429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two point boundary value problem for differential equations with reflection of argument |
scientific article; zbMATH DE number 4146429 |
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Two point boundary value problem for differential equations with reflection of argument (English)
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1989
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The author discusses the equation \[ x''(t)+f(x(t))x'(t)+g(t,x(t),x(- t))=e(t) \] in [-1,1], to which certain boundary conditions are associated. Existence and uniqueness results are proved under general continuity assumptions on f and Caratheodory conditions on g, to which some growth and Liptschitz-type hypotheses are added.
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second order differential equation
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two point boundary value
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problem
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reflection of argument
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Caratheodory conditions
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