Evolution pseudodifferential equations with analytic symbols in spaces of $S$ type
A nonlocal multipoint by time problem for an evolution equation with a pseudodifferential operator is studied. This operator is treated as an infinite order differentiation operator in generalized spaces of $S$ type. We consider the case when the initial
V.V. Horodets'kyi, O.V. Martynyuk
doaj +1 more source
Multivalued evolution equations with nonlocal initial conditions in Banach spaces [PDF]
We prove the existence of integral solutions to the nonlocal Cauchy problem \(u{\prime}(t)\epsilon-Au(t)+F(t,u(t)), 0{\leq}\,t\, {\leq}\,T; u(0)=g(u)\) in a Banach space X, where \(A : D\,(A)\, {\subset}\, X \rightarrow X\) is m-accretive and such that –A generates a compact semigroup, \(F : [0,T] \times X \rightarrow 2^{X}\) has nonempty, closed and ...
Aizicovici, Sergiu, Staicu, Vasile
openaire +2 more sources
Controllability for the fuzzy differential systems with nonlocal initial conditions [PDF]
In this paper, we study the controllability of fuzzy differential systems with nonlocal initial conditions. Result of this paper has improved and expanded in [5].
Jeong, Doo Hoan +2 more
openaire +2 more sources
Nonlocal problems for hyperbolic equations with degenerate integral conditions
In this article, we consider a problem for hyperbolic equation with standard initial data and nonlocal condition. A distinct feature of this problem is that the nonlocal second kind integral condition degenerates and turns into a first kind.
Ludmila S. Pulkina
doaj
On a nonlinear integrodifferential evolution inclusion with nonlocal initial conditions in Banach spaces [PDF]
In this paper, we discuss the existence results for a class of nnlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the
Zuomao Yan
doaj +1 more source
Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions
This paper is devoted to a class of impulsive fractional semilinear integrodifferential equations with nonlocal initial conditions. Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established ...
Xue Wang, Bo Zhu
doaj +1 more source
Canonical Formalism for Lagrangians of Maximal Nonlocality
A canonical formalism for Lagrangians of maximal nonlocality is established. The method is based on the familiar Legendre transformation to a new function which can be derived from the maximally nonlocal Lagrangian.
Chen, Hanghui, Zheng, H. Q.
core +1 more source
A nonlocal mixed semilinear problem for second-order hyperbolic equations
In this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition. We establish a blow up result for large initial data and a decay result for small initial data.
Said Mesloub, Salim A. Messaoudi
doaj
Local null controllability for a parabolic-elliptic system with local and nonlocal nonlinearities
This work deals with the null controllability of an initial boundary value problem for a parabolic-elliptic coupled system with nonlinear terms of local and nonlocal kinds. The control is distributed, locally in space and appears only in one PDE.
Laurent Prouvée, Juan Limaco
doaj +1 more source
Far-from-equilibrium initial conditions probed by a nonlocal observable
Using the gauge/gravity duality, we investigate the evolution of an out-of-equilibrium strongly-coupled plasma from the viewpoint of the two-point function of scalar gauge-invariant operators with large conformal dimension. This system is out of equilibrium due to the presence of anisotropy and/or a massive scalar field.
Shahkarami, L. +3 more
openaire +3 more sources

