Title :
On second-order nonlinear integro-differential equations with deviating argument
Author :
Wang, Wen-Xia ; Liu, Xi-Lan
Author_Institution :
Dept. of Math., Taiyuan Teachers Coll., Taiyuan, China
Abstract :
In this paper, by using the cone theory and the monotone iterative method, we investigate the existence of maximal and minimal solutions for second-order integro-differential equations of mixed type which nonlinearly involve derivative arguments and deviating arguments in a Banach space. Finally, we give an example of infinite system for scalar second-order integro-differential equations to illustrate our results.
Keywords :
Banach spaces; category theory; integro-differential equations; iterative methods; nonlinear differential equations; Banach space; cone theory; deviating argument; infinite system; monotone iterative method; second order nonlinear integro-differential equation; Differential equations; Equations; Facsimile; Information science; Integral equations; Iterative methods;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765142
