Results 221 to 230 of about 5,757 (244)

The existence and uniqueness of solutions of the Dirichlet nonlocal problem with a nonlocal initial condition

Technical Transactions. Fundamental Sciences = Czasopismo Techniczne. Nauki Podstawowe, 2014
W artykule udowodniono istnienie i jednoznaczność rozwiązań nielokalnego zagadnienia Dirichleta z nielokalnym warunkiem początkowym. Rozważania są rozszerzeniami rezultatów otrzymanych przez E. Andreu-Vaillo, J. M. Mazóna, J. D. Rossi i J. J. Toledo-Melero.
Ludwik Byszewski, Teresa Winiarska
openaire   +1 more source

Viability for delay evolution equations with nonlocal initial conditions

Nonlinear Analysis: Theory, Methods & Applications, 2015
The authors consider the problem \[ u'(t)\in Au(t)+f(t,u_t),\,\, t\in R_+, \] \[ u(t)=g(u)(t), \,\, t\in [-\sigma, 0], \] where \(X\) is a real Banach space; \(A : D(A) \subset X \rightsquigarrow X\) is the infinitesimal generator of a nonlinear semigroup; \(K : R_+ \rightsquigarrow \overline{D(A)};\) \(L = \{(t, \phi) \in R_+ \times C_\sigma \,\, :\,\,
Necula, Mihai, Popescu, Marius, Vrabie, Ioan I.   +2 more
openaire   +1 more source

Existence results for systems with coupled nonlocal initial conditions

Nonlinear Analysis: Theory, Methods & Applications, 2014
In this interesting paper the authors discuss the system of the first order differential equations \[ u_j'=f_j(t,u_1,\dots,u_n), \, j=1, 2,\dots,n, \] a.e. on the interval \([0,1]\) associated with the conditions of the form \[ u_j(0)=\sum_{i=1}^n\alpha_{ji}[u_i], \] where the symbol \(\alpha_{ji}[u_i]\) stands for the known Riemann-Stieltjes integral \
Bolojan Nica O, INFANTE, GENNARO, Precup R.   +2 more
openaire   +3 more sources

Nonclassical problems with nonlocal initial conditions for second-order evolution equations

Asymptotic Analysis, 2012
In this paper we consider the nonclassical initial and initial-boundary value problems for second-order evolution equations with nonlocal initial conditions. We study the existence and uniqueness, in suitable abstract spaces, of solution of vector-valued distributions for such problems.
G. Avalishvili, M. Avalishvili, Bernadette Miara   +2 more
openaire   +2 more sources

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

On a Riemann–Hilbert problem for the focusing nonlocal mKdV equation with step-like initial data

Applied Mathematics Letters, 2021
Weiguo Zhang
exaly  

Spatial propagation in an epidemic model with nonlocal diffusion: The influences of initial data and dispersals

Science China Mathematics, 2020
Wen-Bing Xu, Wan-Tong Li, Shigui Ruan
exaly  

Evolution Systems with Nonlocal Initial Conditions

2016
openaire   +1 more source

Nonlocal Initial Conditions: The Autonomous Case

2016
openaire   +1 more source

Counting initial conditions and degrees of freedom in nonlocal gravity

The Fifteenth Marcel Grossmann Meeting, 2022
openaire   +1 more source