A remark on oscillation criteria for the solutions of nonlinear differential equations (Q923213)
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scientific article; zbMATH DE number 4169176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on oscillation criteria for the solutions of nonlinear differential equations |
scientific article; zbMATH DE number 4169176 |
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A remark on oscillation criteria for the solutions of nonlinear differential equations (English)
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1990
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In dieser Arbeit betrachtet man die nichtlineare Differentialgleichung \[ (1)\quad L^ ku+c(\alpha,u)=f(x), \] wobei L der Laplace-Beltrami Operator ist und c(x,u), f(x) gegebene Funktionen darstellen, die bestimmten Bedingungen genügen. Der Verfasser führt zuerst die Definition der oszillierenden Lösung u(x) der Differentialgleichung (1) ein. Weiterhin beweist er ein Oszillationskriterium für diese Gleichung.
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oscillating solution
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hyperbolic space
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semilinear Laplace-Beltrami equation
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