Impulsive Differential Equations

By J. Gloeckner. 2016

610 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/188fd1c5d2cb8c3c6e55d37db570d930f8a7a681

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Citations in the corpus

Stability Analysis for a General Class of Non-instantaneous Impulsive Differential Equations (2017, unknown): “have been established in [7], where x(t) ∈ R, A,B are constant n × n matrices with AB = BA, ti acts as an impulsive point satisfying t0 = 0 < t1 < t2 · · · < ti < ti+1 .”
A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations (2016, background): “The idea of impulses in differential equations was originated in the 1960’s by Millman and Mishkis ([33], [34]) and for recent developments see for example the monographs [22], [26], [38] and the cited references therein.”
Existence of Positive Periodic Solutions for a Neutral Delay Predator–Prey Model with Hassell–Varley Type Functional Response and Impulse (2017, background): “In the recent years, impulsive differential equations have been extensively studied [6,7].”
Existence of mild solutions to Hilfer fractional evolution equations in Banach space (2018, background): “The theory of differential equations with non-instantaneous impulses and impulsive evolution equations in Banach spaces has been investigated by many researchers in the last decades [9, 10, 11].”
On abstract differential equations with non instantaneous impulses (2015, background): “On the general motivations, relevant developments and the current status of the theory we refer the reader to [1]–[7], [9]–[11], [13], [15], [18]–[20], [25] and the references therein.”
Non-instantaneous impulses in Caputo fractional differential equations (2017, background): “For ordinary differential equations with impulses we refer the reader to the monographs [26], [34] and the cited references therein.”
Approximate Controllability of Second-Order Evolution Differential Inclusions in Hilbert Spaces (2015, background): “optimal control models in economics, pharmacokinetics and frequency modulation systems exhibit impulse effects; see the monographs of Samoilenko and Perestyuk [43], Lakshmikantham et al.”