Results 31 to 40 of about 2,472 (168)
On Semilinear Integro‐Differential Equations with Nonlocal Conditions in Banach Spaces [PDF]
Abstract and Applied Analysis, 2012 We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved. Under some additional assumptions, we study the topological structure of the solution set.
Tran Dinh Ke +3 more
openaire +3 more sources
On nonlinear spectra for some nonlocal boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We consider some second order nonlinear differential equation with nonlocal (integral) condition. This spectrum differs essentially from the known ones.
Natalija Sergejeva
doaj +1 more source
Functional differential equations with nonlocal initial conditions [PDF]
International Journal of Stochastic Analysis, 1996 We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m‐accretive operators and related evolution equations in Banach spaces.
Aizicovici, Sergiu, Gao, Yun
openaire +2 more sources
Electronic Journal of Differential Equations, 2015 In this work, we generalize so called Green's functional concept in literature to second-order linear integro-differential equation with nonlocal conditions. According to this technique, a linear completely nonhomogeneous nonlocal problem for a second-
Ali Sirma
doaj
Results in PhysicsIn this paper, the (1+1)-dimensional Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is studied. Firstly, the Biswas-Milovic equation with parabolic law and nonlocal nonlinearity is transformed into ordinary differential equation ...
Zhao Li, Ejaz Hussain
doaj +1 more source
Abstract and Applied Analysis, 2012 The second order of accuracy absolutely stable difference schemes are presented for the nonlocal boundary value hyperbolic problem for the differential equations in a Hilbert space H with the self-adjoint positive definite operator A.
Allaberen Ashyralyev, Ozgur Yildirim
doaj +1 more source
On fractional order differential equations model for nonlocal epidemics
Physica A: Statistical Mechanics and its Applications, 2007 A fractional order model for nonlocal epidemics is given. Stability of fractional order equations is studied. The results are expected to be relevant to foot-and-mouth disease, SARS and avian flu.
Ahmed, E., Elgazzar, A.S.
openaire +2 more sources
Schauder’s fixed-point theorem in approximate controllability problems
International Journal of Applied Mathematics and Computer Science, 2016 The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces.
Babiarz Artur +2 more
doaj +1 more source
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper we investigate a class of loaded ordinary differential equations with nonlocal integral boundary conditions in terms of an abstruse operator equation Bu = A 2 u - q Ψ( u ) = f, f ∈ Y, (1) D ( B ) = { u ∈ D ( A 2) : Φ( u ) = NF ( Au ) , Φ ...
I.N. Parasidis
doaj +1 more source
SEMILINEAR NONLOCAL DIFFERENTIAL EQUATIONS WITH DELAY TERMS [PDF]
Journal of the Korean Mathematical Society, 2013 The goal of this paper is to obtain the regularity and the existence of solutions of a retarded semilinear differential equation with nonlocal condition by applying Schauder's fixed point theorem. We con- struct the fundamental solution, establish the Holder continuity results concerning the fundamental solution of its corresponding retarded linear ...
Jin-Mun Jeong, Su Jin Cheon
openaire +1 more source