Results 151 to 160 of about 53,002 (179)

Constrained differential inclusions with nonlocal initial conditions

2018
We show existence for the perturbed sweeping process with nonlocal initial conditions under very general hypotheses. Periodic, anti-periodic, mean value and multipoints conditions are included in this study. We give abstract results for differential inclusions with nonlocal initial conditions through bounding functions and tangential conditions.
Jourani, Abderrahim, Vilches, Emilio
openaire   +1 more source

Global Solutions for Nonlinear Delay Evolution Inclusions with Nonlocal Initial Conditions

Set-Valued and Variational Analysis, 2012
Under suitable assumptions, the author obtains a sufficient condition for the existence of global \(C^{0}\)-solutions for the following nonlinear functional evolution equation \[ \left\{\begin{aligned} u^{\prime }(t)&\in Au(t)+f(t), \;t\in \mathbb{R}_{+}, \\ f(t)&\in F(t,u(t),u_{t}), \;t\in \mathbb{R}_{+}, \\ u(t)&=g(u)(t), \;t\in [ -\tau ,0], \end ...
openaire   +1 more source

On the Cauchy Problems of Fractional Evolution Equations with Nonlocal Initial Conditions

Results in Mathematics, 2011
The authors study Cauchy problems with nonlocal conditions involving fractional derivatives. Criteria for compactness and Lipschitz continuity of the nonlocal term are relaxed in order to prove existence and uniqueness of a solution. The compactness of the semigroup is used to relax the conditions on the nonlocal term.
Wang, Rong-Nian, Yang, Yan-Hong
openaire   +2 more sources

Delay evolution equations with mixed nonlocal plus local initial conditions

Communications in Contemporary Mathematics, 2015
We consider the delay differential equation u′(t) ∈ Au(t) + f(t, ut), t ∈ ℝ+, where A is the infinitesimal generator of a nonlinear semigroup of contractions in a Banach space X and f is continuous, subjected to a general mixed nonlocal + local initial condition of the form u(t) = g(u)(t) + ψ(t), t ∈ [-τ, 0].
openaire   +1 more source

Semilinear Delay Evolution Equations with Nonlocal Initial Conditions

2014
An existence and asymptotic behaviour result for a class of semilinear delay evolution equations subjected to nonlocal initial conditions is established. An application to a semilinear wave equation is also discussed.
openaire   +1 more source

Existence for nonlinear evolution inclusions with nonlocal retarded initial conditions

Nonlinear Analysis: Theory, Methods & Applications, 2011
The author proves a sufficient condition for the global existence of bounded \(C^0\)-solutions for a class of nonlinear functional differential evolution equations of the form \[ u'(t)\in Au(t)+f(t), \,\, t\in [0,+\infty ), \] \[ f(t)\in F(t,u(t),u(t-\tau_1),\dots,u(t-\tau_n)), \,\, t\in [0,+\infty ) \] \[ u(t)=g(u)(t), \,\, t\in [-\tau ,0], \] where \(
openaire   +2 more sources

Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

Mathematical Methods in the Applied Sciences, 2020
Alexander L Gladkov, Tatiana V. Kavitova
exaly  

Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition

Monatshefte Fur Mathematik, 2023
Alexander L Gladkov
exaly  

Evolution Systems with Nonlocal Initial Conditions

2016
openaire   +1 more source

The two-level finite difference schemes for the heat equation with nonlocal initial condition

Applied Mathematics and Computation, 2019
Jesus Martin-Vaquero, Svajunas Sajavicius   +1 more
exaly