Ground State Solutions to a Critical Nonlocal Integrodifferential System
نویسندگان
چکیده
منابع مشابه
Existence of Solutions to Nonlocal Neutral Functional Differential and Integrodifferential Equations
This paper is concerned with a class of partial nonlocal neutral functional differential and integrodifferential equations with bounded delay in Banach spaces, which are more general than those models been studied. Some existence results of mild solutions to such problems are obtained under the conditions in respect of the Hausdorff’s measure of noncompactness.
متن کاملExistence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition
We study the existence and uniqueness theorem for the nonlinear fractional mixed Volterra-Fredholm integrodifferential equation with nonlocal initial condition dx t /dt f t, x t , ∫ t 0 k t, s, x s ds, ∫1 0 h t, s, x s ds , x 0 ∫1 0 g s x s ds, where t ∈ 0, 1 , 0 < α < 1, and f is a given function. We point out that such a kind of initial conditions or nonlocal restrictions could play an intere...
متن کاملExistence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions
and Applied Analysis 3 concrete situations. Indeed, we consider an example with a particular choice of the function b and the operator A is defined by Aw t, ξ a1 ξ ∂2 ∂ξ2 w t, ξ b1 ξ ∂ ∂ξ w t, ξ c ξ w t, ξ , 1.3 where the given coefficients a1, b1, c satisfy the usual uniform ellipticity conditions. 2. Preliminaries Most of the notations used throughout this paper are standard. So, N, Z, R, and...
متن کاملA Class of Nonlocal Integrodifferential Equations via Fractional Derivative and Its Mild Solutions
In this paper, we discuss a class of integrodifferential equations with nonlocal conditions via a fractional derivative of the type: D t x(t) = Ax(t) + t Z 0 B(t − s)x(s)ds + tf (t, x(t)) , t ∈ [0, T ], n ∈ Z, q ∈ (0, 1], x(0) = g(x) + x0. Some sufficient conditions for the existence of mild solutions for the above system are given. The main tools are the resolvent operators and fixed point the...
متن کاملImpulsive Integrodifferential Equations Involving Nonlocal Initial Conditions
We focus on a Cauchy problem for impulsive integrodifferential equations involving nonlocal initial conditions, where the linear part is a generator of a solution operator on a complex Banach space. A suitable mild solution for the Cauchy problem is introduced. The existence and uniqueness of mild solutions for the Cauchy problem, under various criterions, are proved. In the last part of the pa...
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: Advances in Mathematical Physics
سال: 2018
ISSN: 1687-9120,1687-9139
DOI: 10.1155/2018/4312083