Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (5): 589-596.
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(Department of Mathematics, Shandong University, Jinan 250100)
Online:
Published:
Abstract:
Established the comparison theorem of integro-differential equations on infinite intervals, and by applying the lowerupper solution method, proved the existence of extreme solutions for nonlinear second order integro-differential equations in infinite intervals in Banach spaces.
Key words: Banach space, Integrodifferential equation, Lower-upper solution, Kuratowskii measure of noncompactness, cone.
CLC Number:
Wang Jianguo. Lower-Upper Solution Method for Initial Value Problems of Second Order Abstract Integro-Differential Equations on Infinite Intervals[J].Acta mathematica scientia,Series A, 1999, 19(5): 589-596.
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