Ground state solutions for the fractional impulsive differential system with ψ ‐Caputo fractional derivative and ψ –Riemann–Liouville fractional integral
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DOI: 10.1002/mma.10023
Abstract: This article examines a new family of (p,q)‐Laplacian type nonlinear fractional impulsive differential coupled equations involving both the ψ$$ \psi $$ ‐Caputo fractional derivative and ψ$$ \psi $$ –Riemann–Liouville fractional integral. With the help of… read more here.
Keywords: caputo fractional; fractional derivative; liouville fractional; impulsive differential ... See more keywords
Improvements on the Leighton‐type oscillation criteria for impulsive differential equations and extension to non‐canonical case
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DOI: 10.1002/mma.10605
Abstract: We investigate the oscillatory behavior of solutions of second‐order linear differential equations with impulses. These equations can be categorized into two types: canonical and non‐canonical. This study examines the canonical and non‐canonical impulsive differential equations… read more here.
Keywords: differential equations; amp; impulsive differential; non canonical ... See more keywords
Sturm-Picone comparison theorems for nonlinear impulsive differential equations with discontinuous solutions
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DOI: 10.1002/mma.4571
Abstract: The nonlinear versions of Sturm-Picone comparison theorem as well as Leighton's variational lemma and Leighton's theorem for regular and singular nonlinear impulsive differential equations with discontinuous solutions having fixed moments of impulse actions are established.… read more here.
Keywords: sturm picone; nonlinear impulsive; impulsive differential; differential equations ... See more keywords
On Oscillations of Nonautonomous Linear Impulsive Differential Equations with General Piecewise Constant Deviating Arguments
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DOI: 10.1007/s00009-024-02758-2
Abstract: We provide sufficient conditions that ensure oscillations and nonoscillations for nonautonomous impulsive differential equations with piecewise constant arguments of a generalized type. We cover several cases of differential equations with deviated arguments investigated before as… read more here.
Keywords: differential equations; impulsive differential; piecewise constant; nonautonomous linear ... See more keywords
Nonlinear second-order impulsive differential problems with dependence on the derivative via variational structure
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0754-3
Abstract: In this paper we use variational methods and fixed point theorems to study the existence of solutions to a boundary value problem for impulsive differential equations with nonlinear dependence on the derivative. read more here.
Keywords: impulsive differential; second order; differential problems; dependence derivative ... See more keywords
Affine-Periodic Solutions for Impulsive Differential Systems
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DOI: 10.1007/s12346-019-00337-5
Abstract: The affine-periodicity is a new periodic concept which has been founded in recent years. In this paper, we will discuss the existence of affine-periodic solutions for impulsive differential systems. Several existence theorems are proved for… read more here.
Keywords: impulsive differential; periodic solutions; differential systems; systems affine ... See more keywords
Convergence Analysis for Iterative Learning Control of Conformable Impulsive Differential Equations
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DOI: 10.1007/s41980-020-00510-6
Abstract: This paper deals with iterative learning control for conformable impulsive differential equations. For nonlinear and linear problems varying with the initial state, we design standard P -type, $$D_{\gamma }$$ D γ -type, and conformable $$PI_{\gamma… read more here.
Keywords: impulsive differential; learning control; conformable impulsive; differential equations ... See more keywords
Stability of nonlinear variable-time impulsive differential systems with delayed impulses
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DOI: 10.1016/j.nahs.2020.100970
Abstract: Abstract This paper investigates the stability of nonlinear variable-time impulsive differential systems with delayed impulses. By using the comparison principle, the Lyapunov method and inequality techniques, some sufficient conditions for quasi-uniformly asymptotic stability and quasi-exponential… read more here.
Keywords: differential systems; impulsive differential; time impulsive; variable time ... See more keywords
hp-Legendre–Gauss collocation method for impulsive differential equations
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DOI: 10.1080/00207160.2015.1099632
Abstract: ABSTRACT The original Legendre–Gauss collocation method is derived for impulsive differential equations, and the convergence is analysed. Then a new hp-Legendre–Gauss collocation method is presented for impulsive differential equations, and the convergence for the hp-version… read more here.
Keywords: impulsive differential; legendre gauss; method; gauss collocation ... See more keywords
IMPULSIVE DIFFERENTIAL EQUATION MODEL IN HIV-1 INHIBITION: ADVANCES IN DUAL INHIBITORS OF HIV-1 RT AND IN FOR THE PREVENTION OF HIV-1 REPLICATION
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DOI: 10.1142/s0218339024500141
Abstract: Reverse transcriptase (RT) and integrase (IN) are two pivotal enzymes in HIV-1 replication. RT converts the single-stranded viral RNA genome into double-stranded DNA and IN catalyzes the integration of viral double-stranded DNA into host DNA.… read more here.
Keywords: differential equation; hiv; impulsive differential; dual inhibitors ... See more keywords
Randomized Sharkovsky-type theorems and their application to random impulsive differential equations and inclusions on tori
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DOI: 10.1142/s0219493719500369
Abstract: Our randomized versions of the Sharkovsky-type cycle coexistence theorems on tori and, in particular, on the circle are applied to random impulsive differential equations and inclusions. The obtained effective coexistence criteria for random subharmonics with… read more here.
Keywords: random impulsive; sharkovsky type; impulsive differential; equations inclusions ... See more keywords