Results 71 to 80 of about 482 (176)

Variational Approach to Impulsive Differential Equations with Singular Nonlinearities

Journal of Applied Mathematics, 2013
We discuss the existence of periodic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions that enable us to obtain many distinct periodic solutions are provided.
Naima Daoudi-Merzagui, Abdelkader Boucherif   +1 more
doaj   +1 more source

Existence of almost periodic solutions to some third-order nonautonomous differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper using the well-known Schauder fixed point theorem we study and obtain the existence of almost periodic mild solutions to some classes of nonautonomous third-order differential equations on a separable infinite dimensional complex Hilbert ...
Toka Diagana
doaj   +1 more source

Monotone Solutions of a Nonautonomous Differential Equation for a Sedimenting Sphere

Electronic Journal of Differential Equations, 2000
17 pages, 2 figures.
Andrew Belmonte, Jon Jacobsen, Anandhan Jayaraman   +2 more
openaire   +4 more sources

The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations

Journal of Applied Mathematics, 2011
We study the multiplicity of periodic solutions of nonautonomous delay differential equations which are asymptotically linear both at zero and at infinity.
Huafeng Xiao, Bo Zheng
doaj   +1 more source

Asymptotic properties of a stochastic nonautonomous competitive system with impulsive perturbations

Advances in Difference Equations, 2017
In this paper, a generalized nonautonomous stochastic competitive system with impulsive perturbations is studied. By the theories of impulsive differential equations and stochastic differential equations, we have established some asymptotic properties of
Liu Yang, Baodan Tian
doaj   +1 more source

Semigroups and Stability of Nonautonomous Differential Equations in Banach Spaces [PDF]

Transactions of the American Mathematical Society, 1994
This paper is concerned with nonautonomous differential equations in Banach spaces. Using the theory of semigroups of linear and nonlinear operators one investigates the semigroups of weighted translation operators associated with the underlying equations.
openaire   +2 more sources

Uniform Stability of a Class of Fractional-Order Nonautonomous Systems with Multiple Time Delays

Journal of Applied Mathematics, 2014
In mathematics, to a large extent, control theory addresses the stability of solutions of differential equations, which can describe the behavior of dynamic systems.
Tao Zou, Jianfeng Qu, Yi Chai, Maoyun Guo, Congcong Liu   +4 more
doaj   +1 more source

On the stability conditions for a linear difference equation with variable delay

Современная математика: Фундаментальные направления
The constant $3/2$, which determines sufficient conditions for the stability of linear nonautonomous differential equations with delay, was first obtained by A. D.
K. M. Chudinov
doaj   +1 more source

On nonautonomous second‐order differential equations on Banach space

International Journal of Mathematics and Mathematical Sciences, 2001
We show the existence and uniqueness of classical solutions of the nonautonomous second‐order equation: u″(t) = A(t)u′(t) + B(t)u(t) + f(t), 0 ≤ t ≤ T; u(0) = x0, u′(0) = x1 on a Banach space by means of operator matrix method and apply to Volterra integrodifferential equations.
openaire   +2 more sources

Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations

Electronic Journal of Differential Equations, 2010
We study some properties concerning the asymptotic behavior of solutions to nonautonomous retarded functional differential equations, depending on the knowledge of certain solutions of the associated generalized characteristic equation.
Claudio Cuevas, Miguel V. S. Frasson
doaj