Positive solutions of integrodifferential equations
نویسندگان
چکیده
منابع مشابه
Bounds of Solutions of Integrodifferential Equations
and Applied Analysis 3 Define a function m t by m t v t ∫ t 0 g s v s ds v t ∫ t 0 g s ds, 2.5 then m 0 v 0 u0, v t ≤ m t , v′ t ≤ f t m t , 2.6 m′ t 2g t v t v′ t ( 1 ∫ t 0 g s ds ) ≤ m t [ 2g t f t ( 1 ∫ t 0 g s ds )] . 2.7 Integrating 2.7 from 0 to t, we have m t ≤ u0 exp (∫ t 0 ( 2g s f s ( 1 ∫ s 0 g σ dσ )) ds ) . 2.8 Using 2.8 in 2.6 , we obtain v′ t ≤ u0f t exp (∫ t 0 ( 2g s f s ( 1 ∫ s ...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 1993
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s1048953393000061