Results 81 to 90 of about 366 (188)

Pseudo almost periodic solutions to some differential equations with infinite delay

open access: yesElectronic Journal of Differential Equations, 2006
This paper studies some sufficient conditions for the existence and uniqueness of a pseudo almost periodic mild solution to abstract hyperbolic differential equations with infinite delay.
Toka Diagana
doaj  

Mild solutions for non-autonomous impulsive semi-linear differential equations with iterated deviating arguments

open access: yesElectronic Journal of Differential Equations, 2015
In this work, we consider an impulsive non-autonomous semi-linear equation with iterated deviating arguments in a Banach space. We establish the existence and uniqueness of a mild solution. Also we present an example that illustrates our main result.
Alka Chadha, Dwijendra N. Pandey
doaj  

Heat and Laplace type equations with complex spatial variables in weighted Bergman spaces

open access: yesElectronic Journal of Differential Equations, 2017
In a recent book, the authors of this paper have studied the classical heat and Laplace equations with real time variable and complex spatial variable by the semigroup theory methods, under the hypothesis that the boundary function belongs to the ...
Ciprian G. Gal, Sorin G. Gal
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Almost automorphic mild solutions of hyperbolic evolution equations with stepanov-like almost automorphic forcing term

open access: yesElectronic Journal of Differential Equations, 2012
This article concerns the existence and uniqueness of almost automorphic solutions to the semilinear parabolic boundary differential equations $$displaylines{ x'(t)=A_mx(t)+f(t,x(t)), quad tin mathbb{R}, cr Lx(t)=phi(t,x(t)), quad tin mathbb{R}, }$$
Indira Mishra, Dhirendra Bahuguna
doaj  

Resolvent estimates for elliptic systems in function spaces of higher regularity

open access: yesElectronic Journal of Differential Equations, 2011
We consider parameter-elliptic boundary value problems and uniform a priori estimates in $L^p$-Sobolev spaces of Bessel potential and Besov type. The problems considered are systems of uniform order and mixed-order systems (Douglis-Nirenberg systems).
Robert Denk, Michael Dreher
doaj  

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