Results 11 to 20 of about 627 (90)

Existence results to a ψ- Hilfer neutral fractional evolution equation with infinite delay

open access: yesNonautonomous Dynamical Systems, 2021
In this paper, we prove the existence and uniqueness of a mild solution to the system of ψ- Hilfer neutral fractional evolution equations with infinite delay H𝔻0αβ;ψ [x(t) − h(t, xt)] = A x(t) + f (t, x(t), xt), t ∈ [0, b], b > 0 and x(t) = ϕ(t), t ∈ (−∞,
Norouzi Fatemeh   +1 more
doaj   +1 more source

Lagrangian Systems with non-smooth constraints [PDF]

open access: yes, 2015
The Lagrange-d'Alembert equations with constraints belonging to $H^{1,\infty}$ have been considered. A concept of weak solutions to these equations has been built.
Volkov, Andrey, Zubelevich, Oleg
core   +1 more source

The Redner - Ben-Avraham - Kahng coagulation system with constant coefficients: the finite dimensional case [PDF]

open access: yes, 2014
We study the behaviour as $t\to\infty$ of solutions $(c_j(t))$ to the Redner--Ben-Avraham--Kahng coagulation system with positive and compactly supported initial data, rigorously proving and slightly extending results originally established in [4] by ...
da Costa, F. P.   +2 more
core   +2 more sources

Coupled measure of noncompactness and functional integral equations

open access: yesOpen Mathematics, 2022
The aim of this article is to study the results of the fixed-point in coupled and tripled measure of noncompactness (MNC). We will use the technique of MNC for coupled and tripled MNC.
Hosseinzadeh Hasan   +3 more
doaj   +1 more source

On the existence and uniqueness of solution to Volterra equation on a time scale

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
doaj   +1 more source

Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains

open access: yesNonautonomous Dynamical Systems, 2022
In this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales.
Kumar Vipin, Malik Muslim
doaj   +1 more source

Initial value problems for first order impulsive integro‐differential equations of Volterra type in Banach spaces

open access: yesJournal of Function Spaces, Volume 5, Issue 1, Page 9-26, 2007., 2007
In this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro‐differential equations of Volterra type on finite interval in Banach spaces and for the first order nonlinear impulsive integro‐differential equations of Volterra type on infinite interval ...
Jiang Zhu   +3 more
wiley   +1 more source

On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN

open access: yesAdvances in Nonlinear Analysis, 2021
We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei   +3 more
doaj   +1 more source

On Markovian solutions to Markov Chain BSDEs [PDF]

open access: yes, 2011
We study (backward) stochastic differential equations with noise coming from a finite state Markov chain. We show that, for the solutions of these equations to be `Markovian', in the sense that they are deterministic functions of the state of the ...
B. Bouchard   +10 more
core   +4 more sources

Conditions for global existence of solutions of ordinary differential, stochastic differential, and parabolic equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 17, Page 901-912, 2004., 2004
First, we prove a necessary and sufficient condition for global in time existence of all solutions of an ordinary differential equation (ODE). It is a condition of one‐sided estimate type that is formulated in terms of so‐called proper functions on extended phase space.
Yuri E. Gliklikh, Lora A. Morozova
wiley   +1 more source

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