A fixed point analysis approach is used to investigate the existence of mild solutions of second order semilinear impulsive delay integrodifferential equations with nonlocal conditions.Without imposing compactness con...A fixed point analysis approach is used to investigate the existence of mild solutions of second order semilinear impulsive delay integrodifferential equations with nonlocal conditions.Without imposing compactness condition on the cosine family of operators,we give some sufficient conditions for the existence of mild solutions of such system.Finally,an example is presented to illustrate the utility of the proposed result.The results improve some recent results.展开更多
In this paper, we establish sufficient conditions for the controllability of a class of semilinear impulsive integrodifferential systems with nonlocal initial conditions in Banach spaces. We derive the conditions usin...In this paper, we establish sufficient conditions for the controllability of a class of semilinear impulsive integrodifferential systems with nonlocal initial conditions in Banach spaces. We derive the conditions using Hausdorff measure of noncompactness, Sadovskii fixed point theorem and operator semigroups in particular dropping compactness of the operator.展开更多
In this paper, we study the controllability results for the nonlinear impulsive integrodifferential evolution systems with time-varying delays in Banach spaces. The sufficient conditions of exact controllability is pr...In this paper, we study the controllability results for the nonlinear impulsive integrodifferential evolution systems with time-varying delays in Banach spaces. The sufficient conditions of exact controllability is proved under without assuming the compactness of the evolution operator. The results are obtained by using the semigroup theory and the Schafer fixed point theorem.展开更多
In this paper, the author uses the monotone iterative technique and cone theory to investigate the extremal solutions of two point boundary value problems for nonlinear second order impulsive integrodifferential equa...In this paper, the author uses the monotone iterative technique and cone theory to investigate the extremal solutions of two point boundary value problems for nonlinear second order impulsive integrodifferential equations of mixed type in Banach speces based on a comparison result.展开更多
In this paper,we are concerned with the controllability of damped second-order integrodifferential systems with impulses.Further the result is extended to study the controllability of nonlinear neutral systems with no...In this paper,we are concerned with the controllability of damped second-order integrodifferential systems with impulses.Further the result is extended to study the controllability of nonlinear neutral systems with nonlocal conditions.The fixed point analysis approach is adopted in investigation.Sufficient conditions are formulated with a noncompact condition on the cosine family of operators.The results are obtained using the Banach fixed point theorem.An example is presented to illustrate the results.展开更多
基金National Natural Science Foundation of China(No.10971139)
文摘A fixed point analysis approach is used to investigate the existence of mild solutions of second order semilinear impulsive delay integrodifferential equations with nonlocal conditions.Without imposing compactness condition on the cosine family of operators,we give some sufficient conditions for the existence of mild solutions of such system.Finally,an example is presented to illustrate the utility of the proposed result.The results improve some recent results.
基金supported by University Grant Commission (UGC), India (No. G2/1287/UGC SAP DRS/2009)
文摘In this paper, we establish sufficient conditions for the controllability of a class of semilinear impulsive integrodifferential systems with nonlocal initial conditions in Banach spaces. We derive the conditions using Hausdorff measure of noncompactness, Sadovskii fixed point theorem and operator semigroups in particular dropping compactness of the operator.
文摘In this paper, we study the controllability results for the nonlinear impulsive integrodifferential evolution systems with time-varying delays in Banach spaces. The sufficient conditions of exact controllability is proved under without assuming the compactness of the evolution operator. The results are obtained by using the semigroup theory and the Schafer fixed point theorem.
文摘In this paper, the author uses the monotone iterative technique and cone theory to investigate the extremal solutions of two point boundary value problems for nonlinear second order impulsive integrodifferential equations of mixed type in Banach speces based on a comparison result.
文摘In this paper,we are concerned with the controllability of damped second-order integrodifferential systems with impulses.Further the result is extended to study the controllability of nonlinear neutral systems with nonlocal conditions.The fixed point analysis approach is adopted in investigation.Sufficient conditions are formulated with a noncompact condition on the cosine family of operators.The results are obtained using the Banach fixed point theorem.An example is presented to illustrate the results.
