Results 101 to 110 of about 18,096 (200)

On the uniqueness of mild solutions and an averaging principle results for partial functional differential equations with infinite delay using the α-norm

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
In this paper, we study a class of partial functional differential equations with infinite delay within an abstract phase space framework. By employing the $\alpha$-norm, we establish the existence and uniqueness of mild solutions under a more general ...
Zakaria Elhafiane, Khalil Ezzinbi
doaj   +1 more source

Nonlinear Semigroups Analytic on Sectors [PDF]

open access: yes, 1999
Matsumoto, Toshitaka   +2 more
core   +1 more source

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
doaj  

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