Results 41 to 50 of about 318 (84)

Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux [PDF]

, 2016
State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time.
Balasuriya, Sanjeeva
core   +2 more sources

Application of Lakshmikantham′s monotone‐iterative technique to the solution of the initial value problem for impulsive integro‐differential equations

International Journal of Stochastic Analysis, Volume 6, Issue 1, Page 25-34, 1993., 1993
In the present paper, a technique of V. Lakshmikantham is applied to approximate finding of extremal quasisolutions of an initial value problem for a system of impulsive integro‐differential equations of Volterra type.
D. D. Bainov, S. G. Hristova
wiley   +1 more source

On the concept of general solution for impulsive differential equations of fractional-order q ∈ (2,3)

Open Mathematics, 2016
In this paper, we find the formula of general solution for a generalized impulsive differential equations of fractional-order q ∈ (2, 3).
Zhang Xianmin, Shu Tong, Liu Zuohua, Ding Wenbin, Peng Hui, He Jun   +5 more
doaj   +1 more source

Controllability of nonlocal non-autonomous neutral differential systems including non-instantaneous impulsive effects in 𝕉n

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
This manuscript involves a class of first-order controllability results for nonlocal non-autonomous neutral differential systems with non-instantaneous impulses in the space 𝕉n. Sufficient conditions guaranteeing the controllability of mild solutions are
Kavitha Velusamy, Arjunan Mani Mallika, Baleanu Dumitru   +2 more
doaj   +1 more source

Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay [PDF]

, 2010
MSC 2010: 26A33, 34A37, 34K37, 34K40, 35R11This paper deals with the existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with fixed time impulses and state-dependent delay involving the Caputo ...
Abbas, Saïd, Benchohra, Mouffak
core  

Optimal controllability of impulsive control systems

International Journal of Stochastic Analysis, Volume 6, Issue 2, Page 181-185, 1993., 1993
The problem of optimal controllability of a nonlinear impulsive control system is studied using the method of vector Lyapunov functions and the generalized comparison principle.
Farzana A. McRae
wiley   +1 more source

Moment inversion problem for piecewise D-finite functions [PDF]

, 2009
We consider the problem of exact reconstruction of univariate functions with jump discontinuities at unknown positions from their moments. These functions are assumed to satisfy an a priori unknown linear homogeneous differential equation with polynomial
Ang D D, Banerjee N S Geer J F, Berent J Dragotti P L, Borwein J M, Dmitry Batenkov, Elaydi S, Flajolet P, Gelfand I M, Gustafsson B, Ince E L, Kalman R E, Kisunko V, Sarig N, Schelter W, Sigmon K, Stanley R P, Talenti G, Weixlbaumer C, Zeng Z   +18 more
core   +2 more sources

Practical Stability and Vector-Lyapunov Functions for Impulsive Differential Equations with "Supremum" [PDF]

, 2010
Stability of nonlinear impulsive differential equations with "supremum" is studied. A special type of stability, combining two different measures and a dot product on a cone, is defined. Perturbing cone-valued piecewise continuous Lyapunov functions have
Georgieva, Atanaska, Hristova, Snezhana
core  

On a nonlinear boundary value problems with impulse action

Open Mathematics
In this work, a boundary value problems for a system of nonlinear ordinary differential equations that incorporates impulsive actions is considered.
Tleulessova Agila B., Temesheva Svetlana M., Orazbekova Aidana S.   +2 more
doaj   +1 more source

Differential equations with random Gamma distributed moments of non-instantaneous impulses and p-moment exponential stability

Demonstratio Mathematica, 2018
Nonlinear differential equations with impulses occurring at random time and acting noninstantaneously on finite intervals are studied.We consider the case when the time where the impulses occur is Gamma distributed.
Agarwal Ravi, Hristova Snezhana, O’Regan Donal, Kopanov Peter   +3 more
doaj   +1 more source