Results 51 to 60 of about 623 (125)
International Journal of Stochastic Analysis, Volume 7, Issue 1, Page 1-12, 1994., 1993 We discuss the existence, uniqueness, and continuous dependence on data, of anti‐periodic traveling wave solutions to higher order two‐dimensional equations of Korteweg‐deVries type.
Sergiu Aizicovici +2 more
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, 2018 The self-adjoint first order system, JY ′+QY = λY , with locally integrable, real, symmetric, π -periodic, 2×2 matrix potential Q is considered, where J = ( 0 1 −1 0 ) .
S. Currie, Thomas T. Roth, B. Watson
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THE TRAVELING WAVE OF AUTO-CATALYTIC SYSTEMS – THE LIMITING CASES
Communications in Applied Analysis, 2018 This article studies propagating wave of a reaction-diffusion system modeling auto-catalytic chemical reaction A+nB → (n+1)B involving two chemical species, a reactant A and an auto-catalyst B, whose diffusion coefficients, DA andDB , are unequal due to ...
Y. Qi
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The method of lower and upper solutions for n th‐order periodic boundary value problems
International Journal of Stochastic Analysis, Volume 7, Issue 1, Page 33-47, 1994., 1994 In this paper we develop the monotone method in the presence of lower and upper solutions for the problem where f is a Carathéodory function. We obtain sufficient conditions for f to guarantee the existence and approximation of solutions between a lower solution α and an upper solution β for n ≥ 3 with either α ≤ β or α ≥ β.
Alberto Cabada
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Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays
, 2014 In this paper, we deal with a discrete Lotka-Volterra predator-prey model with time-varying delays. For the general non-autonomous case, sufficient conditions which ensure the permanence and global stability of the system are obtained by using ...
Changjin Xu, Yusen Wu, Lin Lu
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A class of singularly perturbed evolution systems
International Journal of Stochastic Analysis, Volume 7, Issue 2, Page 179-190, 1994., 1994 In this paper we study a class of evolution equations where the semigroup generators are singularly perturbed by a nonnegative real valued function of time. Sufficient conditions for existence of evolution operators and their compactness are given including continuous dependence on the perturbation. Further, for a coupled system of singularly perturbed
N. U. Ahmed
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Periodic solutions to the Liénard type equations with phase attractive singularities
, 2013 Sufficient conditions are established guaranteeing the existence of a positive ω-periodic solution to the equation u″+f(u)u′+g(u)=h(t,u), where f,g:(0,+∞)→R are continuous functions with possible singularities at zero and h:[0,ω]×R→R is a Carathéodory ...
R. Hakl, M. Zamora
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On the uniqueness of limit cycles for generalized Liénard systems
Open Mathematics, 2023 In this article, the general Liénard system dxdt=ϕ(y)−F(x),dydt=−g(x)\left\{\begin{array}{l}\frac{{\rm{d}}x}{{\rm{d}}t}=\phi (y)-F\left(x),\\ \frac{{\rm{d}}y}{{\rm{d}}t}=-g\left(x)\end{array}\right. is studied.
Zhou Hui, Yuan Yueding
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Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory
Nonautonomous Dynamical Systems, 2023 In this article, we provide sufficient conditions for the existence of periodic solutions for the polynomial differential system of the form x˙=−y+εP1(x,y,z,u,v)+h1(t),y˙=x+εP2(x,y,z,u,v)+h2(t),z˙=−u+εP3(x,y,z,u,v)+h3(t),u˙=z+εP4(x,y,z,u,v)+h4(t),v˙=λv ...
Tabet Achref Eddine, Makhlouf Amar
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Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
Boundary Value Problems, 2011 Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory.
Zhang Jihui, Wang Zhiyong
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