Results 61 to 70 of about 1,108 (132)
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
wiley +1 more source
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
semanticscholar +1 more source
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
wiley +1 more source
Open Mathematics, 2020 This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sqrt{1+|\nabla v{|}^{2}}
Obersnel Franco, Omari Pierpaolo
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Homoclinic solutions for a differential inclusion system involving the p(t)-Laplacian
Advances in Nonlinear Analysis, 2022 The aim of this article is to study nonlinear problem driven by the p(t)p\left(t)-Laplacian with nonsmooth potential. We establish the existence of homoclinic solutions by using variational principle for locally Lipschitz functions and the properties of ...
Cheng Jun, Chen Peng, Zhang Limin
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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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A Note on Homoclinic Orbits for Second Order Hamiltonian Systems [PDF]
, 2014 In this paper, we study the existence for the homoclinic orbits for the second order Hamiltonian systems. Under suitable conditions on the potential $V$, we apply the direct method of variations and the Fourier analysis to prove the existence of ...
Li, Bingyu +3 more
core
Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system
Open Mathematics, 2019 In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is
Liu Xia, Zhou Tao, Shi Haiping
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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
doaj
On the existence of periodic oscillations for pendulum-type equations
Advances in Nonlinear Analysis, 2020 We provide new sufficient conditions for the existence of T-periodic solutions for the ϕ-laplacian pendulum equation (ϕ(x′))′ + k x′ + a sin x = e(t), where e ∈ C͠T.
Cid J. Ángel
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