In this paper, we study the PBVP for integro-differential equations of Volterra type inBanach spaces. By developing monotone iterative technique for the PBVP, we get some resultsconcerning the existence of extremal so...In this paper, we study the PBVP for integro-differential equations of Volterra type inBanach spaces. By developing monotone iterative technique for the PBVP, we get some resultsconcerning the existence of extremal solutions, which are the limits of monotone sequences.展开更多
In this paper, the monotone iterative method of Lakshmikantham and a comparison result are applied to study a periodic boundary value problem for a nonlinear impulsive differential equation with 'supremum' and...In this paper, the monotone iterative method of Lakshmikantham and a comparison result are applied to study a periodic boundary value problem for a nonlinear impulsive differential equation with 'supremum' and the existence of maximal and minimal solutions are obtained.展开更多
In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we...In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions.展开更多
基金The project supported by the Natural Science Foundation of Shandong Province
文摘In this paper, we study the PBVP for integro-differential equations of Volterra type inBanach spaces. By developing monotone iterative technique for the PBVP, we get some resultsconcerning the existence of extremal solutions, which are the limits of monotone sequences.
基金Research supported by the foundation of Educational Department of Fujian Province (K200ll04)and Zhangzhou Teachers College.
文摘In this paper, the monotone iterative method of Lakshmikantham and a comparison result are applied to study a periodic boundary value problem for a nonlinear impulsive differential equation with 'supremum' and the existence of maximal and minimal solutions are obtained.
基金supported by the National Natural Science Foundation of China (10771128)Natural Science Foundation of Shanxi (2008011002-1)+2 种基金Shanxi University Science and Technology Development Project (20101109 20111117)Doctorial Start-up Foundation of Datong University(2010-B-01)
文摘In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions.
