[PDF] Top 20 Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions

... the nonlocal problems. They studied and obtained the existence and uniqueness of mild solutions for nonlocal differential ...the nonlocal problems have better effects in applications ... See full document

... the existence and asymptotic analysis of positive solutions for a class of singular fractional differential equations subject to nonlocal boundary ...lower solutions and employing ... See full document

... The organization of this work is as follows. In Section , we recall some definitions and facts about set-valued analysis and the measure of noncompactness. In Section , we give the existence of mild ... See full document

... an existence result for local clas- sical solutions for the Cauchy problem associated to a semilinear differential inclusion is ...the existence of local mild solutions for (.) with a ... See full document

... the existence of solutions for the im- pulsive fractional evolution equations with nonlocal initial conditions by using the mono- tone iterative technique in the presence ... See full document

... integro-differential equations plays an important role in abstract formulation of many initial, boundary value problems of perturbed differential partial integro-differential ...with nonlocal ... See full document

... differential equations was initiated by many ...boundary conditions are presented in ...nonstationary equations. The investigation of semilinear problems with Nonlocal Boundary ... See full document

... accompanying conditions. Nonlocal conditions have a leading role in describing some peculiarities of chemical, biological, physical, or other processes occurring at various positions inside the ... See full document

... differential equations are important mathematical models of some practical problems in many fields such as polymer rheology, chemistry physics, heat conduction, fluid flows, electrical networks, and many other ... See full document

... of solutions of semilinear parabolic equations with nonlocal initial conditions, ...the existence and uniqueness of solutions of a semilinear ... See full document

... differential equations have been proved to be valu- able tools in the modeling of many phenomena in various fields of engineering, physics, and economics, and hence they have gained considerable ...the ... See full document

... differential equations which arise in the problems with memory visco-elasticity and many other physical phe- nomena, see [1],[5],[8],[15] and the references given ...of existence, uniqueness and other ... See full document

... the nonlocal problems for nonlinear first-order evolution inclusions in an evolution triple of ...prove existence theorems of solutions for the cases of a convex and of a nonconvex ... See full document

... the nonlocal initial condition, in many cases, has much better effect in applications than the traditional initial ...the nonlocal initial value problems can be more useful than the ... See full document

... interesting existence and nonexistence phenomena for the elliptic equations with critical Hardy terms (see, for example, [–] and the references ... See full document

... R ) be any solution satisfying (4.2). Then, by Lemma 2.2, y satisfies the integral equation (4.1). Moreover, the equivalence in Lemma 2.2 implies the equivalence between the operators Υ and Ψ − I on every solution y ∈ C ... See full document

... differential equations in fractional order with impulsive conditions as an interesting and improvement field of ...integro-differential equations occur from different phenomena in many engineering ... See full document

... literature on existence and multiplicity results, with the case of resonance being of partic- ular interest (see [–]). We recall that the problem is said to be at resonance if –λ ∈ σ(S), where σ (S) denotes the ... See full document

... The nonlocal problems have been intensively studied using various frames and tech- niques, and they continue to be an important research ...the evolution of various phenomena (see, ...the existence ... See full document

... The purpose of this paper is to study the existence and uniqueness of mild solutions for (1.1)-(1.2) by virtue of resolvent operator. In Section 2 we recall some definitions and preliminary facts which will ... See full document