Results 31 to 40 of about 53,002 (179)

Existence of the solution to a nonlocal-in-time evolutional problem [PDF]

, 2014
This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to its ...
Makarov, Volodymyr, Sytnyk, Dmytro, Vasylyk, Vitalii   +2 more
core   +3 more sources

Nonclassical Problem for Ultraparabolic Equation in Abstract Spaces

Journal of Function Spaces, 2016
Nonclassical problem for ultraparabolic equation with nonlocal initial condition with respect to one time variable is studied in abstract Hilbert spaces.
Gia Avalishvili, Mariam Avalishvili
doaj   +1 more source

Nonlocal gravity. Conceptual aspects and cosmological predictions [PDF]

, 2017
Even if the fundamental action of gravity is local, the corresponding quantum effective action, that includes the effect of quantum fluctuations, is a nonlocal object. These nonlocalities are well understood in the ultraviolet regime but much less in the
Belgacem, Enis, Dirian, Yves, Foffa, Stefano, Maggiore, Michele   +3 more
core   +3 more sources

Stochasticity of Bias and Nonlocality of Galaxy Formation: Linear Scales [PDF]

, 1999
If one wants to represent the galaxy number density at some point in terms of only the mass density at the same point, there appears the stochasticity in such a relation, which is referred to as ``stochastic bias''. The stochasticity is there because the
Babul A., Catelan P., Cole S., Coles P., Colombi S., Hermit S., Kaiser N., Mo H. J., Rees M. J.   +8 more
core   +3 more sources

Global Continua of Positive Equilibria for some Quasilinear Parabolic Equation with a Nonlocal Initial Condition

, 2012
This paper is concerned with a quaslinear parabolic equation including a nonlinear nonlocal initial condition. The problem arises as equilibrium equation in population dynamics with nonlinear diffusion.
Ch Walker, Ch Walker, Ch Walker, Ch Walker, Christoph Walker, G Restrepo, GF Webb, H Amann, H Amann, H Triebel, J Prüß, J Shi, JM Cushing, MG Crandall, PH Rabinowitz   +14 more
core   +1 more source

Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations [PDF]

, 2008
In this article, we provide existence results for a general class of nonlocal and nonlinear second-order parabolic equations. The main motivation comes from front propagation theory in the cases when the normal velocity depends on the moving front in a ...
Alvarez, Aubin, Aurélien Monteillet, Barles, Barles, Barles, Barles, Bourgoing, Bourgoing, Forcadel, Giga, Giga, Guy Barles, Ishii, Ley, Nunziante, Nunziante, Olivier Ley, Pierre Cardaliaguet, Slepčev, Soravia   +20 more
core   +5 more sources

Non-Localizability and Asymptotic Commutativity

, 1992
The mathematical formalism commonly used in treating nonlocal highly singular interactions is revised. The notion of support cone is introduced which replaces that of support for nonlocalizable distributions.
A. Cohen, A. Jaffe, A.V. Marshakov, D. Amati, D.J. Gross, F. Constantinescu, G.V. Efimov, G.V. Efimov, G.V. Efimov, I.M. Gelfand, J. Bümmerstede, J. Bümmerstede, J. Polchinski, J.J. Atick, K. Bordakci, L. Hörmander, M. A. Soloviev, M.A. Soloviev, M.A. Soloviev, M.A. Soloviev, M.A. Soloviev, M.A. Soloviev, M.B. Green, M.Z. Iofa, M.Z. Iofa, M.Z. Iofa, N.N. Meiman, R.F. Streater, S. Fubini, T. Kawai, V. Ya. Fainberg, V.Ya. Fainberg, V.Ya. Fainberg, V.Ya. Fainberg, W. Lücke, W. Lücke, W. Lücke   +36 more
core   +3 more sources

A New Formulation of the Initial Value Problem for Nonlocal Theories [PDF]

, 2010
There are a number of reasons to entertain the possibility that locality is violated on microscopic scales, for example through the presence of an infinite series of higher derivatives in the fundamental equations of motion.
Aref'eva, Aref'eva, Aref'eva, Aref'eva, Aref'eva, Aref'eva, Aref'eva, Aref'eva, Aref'eva, Barnaby, Barnaby, Barnaby, Barnaby, Barnaby, Barnaby, Barnaby, Barnaby, Barnaby, Barnaby, Barnaby, Baumann, Beaujean, Bennett, Biswas, Biswas, Biswas, Biswas, Biswas, Biswas, Brekke, Buchbinder, Burgess, Calcagni, Cline, Coletti, Cutkosky, Deser, Douglas, Dvali, Eliezer, Eliezer, Erler, Erler, Evens, Freund, Freund, Ghoshal, Gomis, Gomis, Grinstein, Grinstein, Gutperle, Hawking, Hellerman, Hossenfelder, Kachru, Khoury, Kiermaier, Kleppe, Kleppe, Kleppe, Kofman, Koivisto, Koivisto, Kostelecky, Kostelecky, Kutasov, Lambert, Lee, Lee, Lidsey, Marvel, Moeller, Mulryne, Neil Barnaby, Nunes, Pais, Sen, Sen, Sen, Sen, Sen, Sorkin, Soussa, Szabo, Taylor, Taylor, Witten, Woodard, Woodard, Woodard   +90 more
core   +1 more source

Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions

Journal of Mathematical Analysis and Applications, 1995
The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
openaire   +1 more source

EXISTENCE RESULTS FOR IMPULSIVE SYSTEMS WITH INITIAL NONLOCAL CONDITIONS

Mathematical Modelling and Analysis, 2013
We study the existence of solutions for nonlinear first order impulsive systems with nonlocal initial conditions. Our approach relies in the fixed point principles of Schauder and Perov, combined with a vector approach that uses matrices that converge to zero. We prove existence and uniqueness results for these systems.
Bolojan Nica O, INFANTE, GENNARO, PIETRAMALA, Paolamaria   +2 more
openaire   +5 more sources