On the existence of asymptotically decaying positive solutions of second order neutral differential equations (Q1191767)

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scientific article; zbMATH DE number 62791
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On the existence of asymptotically decaying positive solutions of second order neutral differential equations
scientific article; zbMATH DE number 62791

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    On the existence of asymptotically decaying positive solutions of second order neutral differential equations (English)
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    27 September 1992
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    By using fixed-point theorems, especially the one of Krasnoselskij concerning contractions perturbed by completely continuous operators, sufficient conditions are stated for existence of positive solutions, asymptotically tending to zero, for the equation \((x(t)-cx(t- r))''+p(t)x(g(t))=0\).
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    neutral equations
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    fixed-point theorems
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    existence of positive solutions
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