Abstract
Integrodifferential equations of the forms urn:x-wiley:20903332:media:ista345783:ista345783-math-0001 are considered, where K ∈ C([0, ∞), [0, ∞)), p ∈ C([0, ∞), [0, ∞)) and q ∈ C((−∞, ∞), [0, ∞)). Necessary conditions and also sufficient conditions for the existence of positive solutions are established.
Highlights
AND STATEMENT OF RESULTSOur aim in this paper is to obtain necessary conditions and sufficient conditions for the existence of positive solutions of certain integrodifferential equations
Very recently Gopalsamy [3,4,5,6,7,8], Ladas, the present author and Sficas [9], the present author [10, 11], and the present author and Sficas [12] studied the oscillatory behavior of solutions of integrodifferential equations or of systems of integrodifferential equations
For questions related to the theory of integrodifferential equations, see Burton [1]
Summary
---o are considered, where K E C([0, oo),[0, oo)), p E C([0, ), [0, oo)) and q C(( oo, oo), [0, oo)). Necessary conditions and sufficient conditions for the existence of positive solutions are established.
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