Results 271 to 280 of about 528,042 (304)

Impulsive nonlocal differential equations through differential equations on time scales

Applied Mathematics and Computation, 2011
Abstract We propose a non-standard approach to impulsive differential equations in Banach spaces by embedding this type of problems into differential (dynamic) problems on time scales. We give an existence result for dynamic equations and, as a consequence, we obtain an existence result for impulsive differential equations.
Bianca Satco, Mieczysław Cichoń, Aneta Sikorska-Nowak   +2 more
openaire   +2 more sources

The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm

, 2020
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal condition.
Yuchen Guo, Mengqi Chen, X. Shu, Fei Xu
semanticscholar   +1 more source

Coercive nonlocal elements in fractional differential equations

Positivity, 2016
By introducing a new order cone and a new open set attendant to the cone, the usefulness of the new set as well as the strength of the coercivity condition and its dependence on the order of the fractional derivative are investigated. The obtained results are applied to a class of fractional-order boundary value problems.
openaire   +2 more sources

Integration of Ordinary Differential Equations via Nonlocal Symmetries

Nonlinear Dynamics, 2002
It is a classical result that \(n\)th-order ordinary differential equations with a solvable Lie algebra of point symmetries \(\mathfrak{g}\) (also called fundamental algebra of the equation) can be integrated by quadratures. The structure of the algebra \(\mathfrak{g}\) can also be used to obtain other simplifications or reductions of an equation ...
A. A. Adam, Fazal M. Mahomed
openaire   +3 more sources

HYERS-ULAM STABILITY FOR NONLOCAL DIFFERENTIAL EQUATIONS

Journal of Science Natural Science, 2020
In this paper, we present a result on Hyers-Ulam stability for a class of nonlocal differential equations in Hilbert spaces by using the theory of integral equations with completely positive kernels together with a new Gronwall inequality type. The paper develops some recent results on fractional differential equations to the ones involving general ...
Dac Nguyen Van, Toan Pham Anh
openaire   +1 more source

A topological approach to nonlocal elliptic partial differential equations on an annulus

Mathematische Nachrichten, 2020
For q≥1 we consider the nonlocal ordinary differential equation −a∫01|y|qdsy′′(t)=λf(t,y(t ...
C. Goodrich
semanticscholar   +1 more source

On the Large Time Behavior of the Solutions of a Nonlocal Ordinary Differential Equation with Mass Conservation

, 2015
We consider an initial value problem for a nonlocal differential equation with a bistable nonlinearity in several space dimensions. The equation is an ordinary differential equation with respect to the time variable t, while the nonlocal term is ...
D. Hilhorst, H. Matano, Thanh-Nam Nguyen, H. Weber   +3 more
semanticscholar   +1 more source

Nonlocal solutions of V-dissipative differential equations

Ukrainian Mathematical Journal, 1984
In this paper we consider questions of existence of nonlocal solutions of V-dissipative differential equations in a Banach space and also the existence of bounded and almost-periodic solutions.
openaire   +3 more sources

Stochastic Differential Equations with Nonlocal Sample Dependence

Stochastic Analysis and Applications, 2010
Stochastic ordinary differential equations are investigated for which the coefficients depend on nonlocal properties of the current random variable in the sample space such as the expected value or the second moment. The approach here covers a broad class of functional dependence of the right-hand side on the current random state and is not restricted ...
Thomas Lorenz, Peter E. Kloeden
openaire   +2 more sources

Perturbed Nonlocal Stochastic Functional Differential Equations

Qualitative Theory of Dynamical Systems, 2020
This paper discusses the asymptotic behavior of the solution for a class of perturbed nonlocal stochastic functional differential equations (SFDEs, in short). By comparing it with the solution of the corresponding unperturbed one, we derive the conditions under which their solutions are close.
Yong Ren, Qi Zhang
openaire   +2 more sources