Results 221 to 230 of about 3,412 (247)
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Arbitrary initial conditions of nonlocal hidden variables

Physical Review D, 1984
A deterministic nonlocal hidden-variable theory with arbitrary initial conditions is consistent with quantum theory. The sufficiency conditions for the hidden variables are developed.
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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
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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   +2 more
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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   +2 more
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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   +2 more
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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
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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.
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