Results 11 to 20 of about 725,779 (280)

A system of abstract measure delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2003
In this paper existence and uniqueness results for an abstract measure delay differential equation are proved, by using Leray-Schauder nonlinear alternative, under Carathéodory conditions.
Bapurao Dhage, D. N. Chate, Sotiris Ntouyas   +2 more
doaj   +1 more source

On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects

Cubo, 2023
In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order ...
Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi   +4 more
doaj   +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

Differential equations on abstract Wiener space [PDF]

Pacific Journal of Mathematics, 1972
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Total stability in abstract functional differential equations with infinite delay

Electronic Journal of Qualitative Theory of Differential Equations, 2000
For functional differential equations with infinite delay in a Banach space, an equivalent relationship between the BC-total stability and the $\rho$-total stability is investigated, and a result due to Murakami and Yoshizawa on functional differential ...
Y. Hino, Satoru Murakami
doaj   +1 more source

Trichotomies for abstract semilinear differential equations

Journal of Mathematical Analysis and Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Yu-Hsien, Jau, Guo-Chin
openaire   +2 more sources

Global solutions for abstract functional differential equations with nonlocal conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2009
In this paper we study the existence of global solutions for a class of abstract functional differential equation with nonlocal conditions. An application is considered.
Eduardo Hernandez, Sueli M. Tanaka Aki
doaj   +1 more source

Approximate solutions of abstract differential equations [PDF]

Applications of Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Exploiting the Abstract Calculus Pattern for the Integration of Ordinary Differential Equations for Dynamics Systems: An Object-Oriented Programming Approach in Modern Fortran

Dynamics, 2023
This manuscript relates to the exploiting of the abstract calculus pattern (ACP) for the (numerical) solution of ordinary differential equation (ODEs) systems, which are ubiquitous mathematical formulations of many physical (dynamical) phenomena.
Stefano Zaghi, Cristiano Andolfi
doaj   +1 more source

Linear and nonlinear abstract differential equations of high order

Open Mathematics, 2015
The nonlocal boundary value problems for linear and nonlinear degenerate abstract differential equations of arbitrary order are studied. The equations have the variable coefficients and small parameters in principal part.
Shakhmurov Veli B.
doaj   +1 more source