Results 31 to 40 of about 225,971 (310)

Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence [PDF]

Nonlinearity, 2020
In this paper we develop a new approach to nonlinear stochastic partial differential equations with Gaussian noise. Our aim is to provide an abstract framework which is applicable to a large class of SPDEs and includes many important cases of nonlinear ...
A. Agresti, M. Veraar
semanticscholar   +1 more source

Solvability and completeness of solutions of parabolic differential-operator equations [PDF]

Математичні Студії, 2011
We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
doaj  

First-Order Regular and Degenerate Identification Differential Problems

Abstract and Applied Analysis, 2015
We are concerned with both regular and degenerate first-order identification problems related to systems of differential equations of weakly parabolic type in Banach spaces. Several applications to partial differential equations and systems will be given
A. Favini, A. Lorenzi, H. Tanabe
doaj   +1 more source

Planarly branched rough paths and rough differential equations on homogeneous spaces [PDF]

Journal of Differential Equations, 2018
This work studies rough differential equations (RDEs) on homogeneous spaces. We provide an explicit expansion of the solution at each point of the real line using decorated planar forests.
Charles Curry, K. Ebrahimi-Fard, D. Manchon, H. Munthe-Kaas   +3 more
semanticscholar   +1 more source

Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion [PDF]

, 2016
Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations with infinite fractional Brownian motions are proved.
Blouhi, Tayeb, Caraballo Garrido, Tomás, Ouahab, Abdelghani   +2 more
core   +1 more source

On the $S$-asymptotically $\omega$-periodic mild solutions for multi-term time fractional measure differential equations

Topological Methods in Nonlinear Analysis, 2023
In this paper, based on regulated functions and fixed point theorem, a class of nonlocal problem of multi-term time-fractional measure differential equations involving nonlocal conditions in Banach spaces.
Haide Gou
semanticscholar   +1 more source

Multi-dimensional (ω, c)-almost periodic type functions and applications

Nonautonomous Dynamical Systems, 2021
In this paper, we analyze various classes of multi-dimensional (ω, c)-almost periodic type functions with values in complex Banach spaces. The main structural properties and characterizations for the introduced classes of functions are presented.
Kostić M.
doaj   +1 more source

Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces

Computers & Mathematics with Applications, 2021
Producción ...
Cuesta Montero, Eduardo, Ponce, Rodrigo
openaire   +1 more source

An abstract framework for parabolic PDEs on evolving spaces

, 2015
We present an abstract framework for treating the theory of well-posedness of solutions to abstract parabolic partial differential equations on evolving Hilbert spaces.
Alphonse, Amal, Elliott, Charles M., Stinner, Björn   +2 more
core   +1 more source

Operator splittings and spatial approximations for evolution equations [PDF]

, 2009
The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end a variant of Chernoff's product formula is proved.
András Bátkai, Gregor Nickel, Our Teacher, Petra Csomós, To Rainer Nagel   +4 more
core   +4 more sources