A class of nth-order impulsive integrodifferential equations in Banach spaces
نویسندگان
چکیده
منابع مشابه
Controllability of Impulsive Fractional Evolution Integrodifferential Equations in Banach Spaces
According to fractional calculus theory and Banach’s fixed point theorem, we establish the sufficient conditions for the controllability of impulsive fractional evolution integrodifferential equations in Banach spaces. An example is provided to illustrate the theory.
متن کاملExistence of solutions of nth order impulsive integro - differential equations in Banach spaces ∗
In this paper, we prove the existence of solutions of initial value problems for nth order nonlinear impulsive integro-differential equations of mixed type on an infinite interval with an infinite number of impulsive times in Banach spaces. Our results are obtained by introducing a suitable measure of noncompactness.
متن کاملMultiple Positive Solutions for First-Order Impulsive Integrodifferential Equations on the Half Line in Banach Spaces
Let E be a real Banach space and P a cone in E which defines a partial ordering in E by x ≤ y if and only if y − x ∈ P . P is said to be normal if there exists a positive constant N such that θ ≤ x ≤ y implies ||x|| ≤ N||y||, where θ denotes the zero element of E and the smallest N is called the normal constant of P . If x ≤ y and x / y, we write x < y. For details on cone theory, see 1 . In pa...
متن کاملFractional Order Semilinear Volterra Integrodifferential Equations in Banach Spaces
In this paper, sufficient conditions are established for the existence results of fractional order semilinear Volterra integrodifferential equations in Banach spaces. The results are obtained by using the theory of fractional cosine families and fractional powers of operators.
متن کاملQuasilinear Nonlocal Integrodifferential Equations in Banach Spaces
In this paper, we study the existence of mild solutions for quasilinear integrodifferential equations with nonlocal conditions in Banach spaces. The results are established by using Hausdorff’s measure of noncompactness.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2002
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(02)00261-4