Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses [PDF]
Mediterranean Journal of Mathematics, 2015 The paper deals with the following problem involving a semilinear differential equation subject to the action of non-istantaneous impulses: \[ \begin{aligned} & u'(t)=Au(t)+f(t,u(t))\;,\;t\in [s_i,t_{i+1}],\, i\in \mathbb{N},\\ & u(t)=g_i(t,N_i(t)(u))\;,\;t\in (t_i,s_i],\, i\in \mathbb{N},\\ & u(0)=x_0, \end{aligned} \] where: \(A:D(A)\subseteq X\to X\)
Pierri, Michelle +2 more
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The perfect integrator driven by Poisson input and its approximation in the diffusion limit [PDF]
, 2010 In this note we consider the perfect integrator driven by Poisson process input. We derive its equilibrium and response properties and contrast them to the approximations obtained by applying the diffusion approximation.
Deger, Moritz +3 more
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Periodic problem for non-instantaneous impulsive partial differential equations
AIMS Mathematics, 2022 <abstract><p>We obtain a new maximum principle of the periodic solutions when the corresponding impulsive equation is linear. If the nonlinear is quasi-monotonicity, we study the existence of the minimal and maximal periodic mild solutions for impulsive partial differential equations by using the perturbation method, the monotone iterative ...
Huanhuan Zhang, Jia Mu
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Mixed-order impulsive ordinary and fractional differential equations with initial conditions
Advances in Difference Equations, 2019 In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects.
Suphawat Asawasamrit +3 more
doaj +1 more source
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
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Existence of mild solutions for fractional non-instantaneous impulsive integro-differential equations with nonlocal conditions [PDF]
Arab Journal of Mathematical Sciences, 2020 This paper is concerned with the existence of mild solutions for a class of fractional semilinear integro-differential equations having non-instantaneous impulses. The result is obtained by using noncompact semigroup theory and fixed point theorem.
Arshi Meraj, Dwijendra N. Pandey
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Finite-time stability of set switched systems with non-instantaneous impulses
Applied Mathematics in Science and Engineering, 2022 In this paper, we discuss the finite-time stability of set switched systems with non-instantaneous impulses which consist of stable and unstable subsystems through introducing a revised mode-dependent average dwell time method.
Peiguang Wang, Mengyu Guo, Junyan Bao
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Trajectory Controllability of Dynamical Systems with Non-instantaneous Impulses
YMER Digital, 2021 This manuscript considered the system governed by the non-instantaneous impulsive evolution control system and discusses trajectory controllability of the governed system with classical and nonlocal initial conditions over the general Banach space. The results of the trajectory controllability for governed systems are obtained through the concept of ...
Vishant Shah +2 more
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Work minimization accounts for footfall phasing in slow quadrupedal gaits [PDF]
, 2017 Quadrupeds, like most bipeds, tend to walk with an even left/right footfall timing. However, the phasing between hind and forelimbs shows considerable variation.
Self Davies, Z T, Usherwood, J R
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Displaced geostationary orbit design using hybrid sail propulsion [PDF]
, 2011 Because of an increase in the number of geostationary spacecraft and the limits imposed by east–west spacing requirements, the geostationary orbit is becoming congested. To increase its capacity, this paper proposes to create new geostationary slots by
Becerra V. M. +14 more
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