Results 11 to 20 of about 197,801 (309)
Linear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space
Advances in Difference Equations, 2007 A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered. By constructing the impulsive evolution operator, the existence of T0-periodic PC-mild solution for homogeneous linear impulsive ...
JinRong Wang, X. Xiang, W. Wei
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NOVASINERGIA, 2020 In this work, we study the existence of bounded solutions for a semilinear retarded equation with infinite delay, impulse, and non-local conditions. We also show that under some conditions this bounded solution is unique, periodic, or almost periodic ...
Génesis Carrillo +2 more
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Analytical solutions of the simplified Mathieu’s equation [PDF]
INCAS Bulletin, 2016 Consider a second order differential linear periodic equation. The periodic coefficient is an approximation of the Mathieu’s coefficient. This equation is recast as a first-order homogeneous system.
Nicolae MARCOV
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On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay [PDF]
Opuscula Mathematica, 2014 We prove that the totally nonlinear second-order neutral differential equation \[\frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)h(x(t))\] \[=\frac{d}{dt}c(t,x(t-\tau(t)))+f(t,\rho(x(t)),g(x(t-\tau(t))))\] has positive periodic solutions by employing the ...
Emmanuel K. Essel, Ernest Yankson
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Analytical solutions of a particular Hill's differential system [PDF]
INCAS Bulletin, 2019 Consider a second order differential linear periodic equation. This equation is recast as a first-order homogeneous Hill’s system. For this system we obtain analytical solutions in explicit form. The first solution is a periodic function.
Nicolae MARCOV
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Simulation of a photosynthesis
Lietuvos Matematikos Rinkinys, 2004 It is observed the differential equations system. The stable periodic solutions of the differential equations system of neutral type is constructed, which is based on the theory of bifurcations.
Marina Grabovskaja, Donatas Švitra
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A note on periodic solutions of functional differential equations
International Journal of Mathematics and Mathematical Sciences, 1985 The existence of periodic solution for a certain functional differential equation with quasibounded nonlinearity is established.
S. H. Chang
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Dynamic Complexity in a Prey-Predator Model with State-Dependent Impulsive Control Strategy
Complexity, 2020 In this paper, an ecological model described by a couple of state-dependent impulsive equations is studied analytically and numerically. The theoretical analysis suggests that there exists a semitrivial periodic solution under some conditions and it is ...
Chuanjun Dai
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Discontinuous bifurcations of periodic solutions
Mathematical and Computer Modelling, 2002 The authors discuss some aspects of bifurcations of periodic solutions in systems with a discontinuous vector field. Using the example \[ m\ddot x+C(\dot x) + K(x) = f_0\sin(\omega t), \] the authors demonstrate, under certain assumptions on the functions \(K(x)\) and \(C(\dot x)\), how the Floquet multipliers of a discontinuous system can jump when ...
Leine, R.I., Campen, van, D.H.
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PERIODIC SOLUTIONS AND SLOW MANIFOLDS [PDF]
International Journal of Bifurcation and Chaos, 2007 After reviewing a number of results from geometric singular perturbation theory, we give an example of a theorem for periodic solutions in a slow manifold. This is illustrated by examples involving the van der Pol-equation and a modified logistic equation.
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