Results 41 to 50 of about 1,359 (222)
Homoclinic solutions for a class of non-periodic second order Hamiltonian systems
Electronic Journal of Qualitative Theory of Differential Equations, 2010 We study the existence of homoclinic solutions for the second order Hamiltonian system $\ddot{u}+V_{u}(t,u)=f(t)$. Let $V(t,u)=-K(t,u)+W(t,u)\in C^{1}(\mathbb{R}\times\mathbb{R}^{n}, \mathbb{R})$ be $T$-periodic in $t$, where $K$ is a quadratic growth ...
Jian Ding, Junxiang Xu, Fubao Zhang
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Homoclinic solutions to the gray-scott model
Applied Mathematics Letters, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Homoclinic solutions of quasiperiodic Lagrangian systems
Differential and Integral Equations, 1995 Let \(M^m\) be a smooth connected manifold, \(\omega\in \mathbb{R}^n\) a fixed nonresonant frequency vector, and \(L: P= TM\times \mathbb{T}^n\to \mathbb{R}\), \(L= L(x, v, \theta)\), a Lagrangian function which determines the Lagrangian quasiperiodic system (1) \({d\over dt} L_v(x, \dot x, \theta)- L_x(x, \dot x, \theta)= 0\), \(\dot\theta= \omega ...
Bertotti, M. L., Bolotin, S. V.
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Homoclinic Solutions for a Class of the Second-Order Impulsive Hamiltonian Systems
Abstract and Applied Analysis, 2013 This paper is concerned with the existence of homoclinic solutions for a class of the second order impulsive Hamiltonian systems. By employing the Mountain Pass Theorem, we demonstrate that the limit of a 2kT-periodic approximation solution is a ...
Jingli Xie, Zhiguo Luo, Guoping Chen
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Generalized homoclinic solutions for the Swift–Hohenberg equation
Journal of Mathematical Analysis and Applications, 2012 The authors study the Swift-Hohenberg equation, which depends on one parameter and describes the onset of the Rayleigh-Bénard heat convection. By giving an explicit construction, they prove the existence of a homoclinic solution connecting a periodic orbit for every positive parameter.
Deng, Shengfu, Li, Xiaopei
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T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
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Variational Approach to Impulsive Problems: A Survey of Recent Results
Abstract and Applied Analysis, 2014 We present a survey on the existence of nontrivial solutions to impulsive differential equations by using variational methods, including solutions to boundary value problems, periodic solutions, and homoclinic solutions.
Fang-fang Liao, Juntao Sun
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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Multiplicity results for the Neumann boundary value problem
Mathematical Modelling and Analysis, 2007 We provide multiplicity results for the Neumann boundary value problem, when the second order differential equation is of the form x” = f(x).
Svetlana Atslega
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Homoclinic Solutions for a Class of Hamiltonian Systems
Advanced Nonlinear Studies, 2004 Abstract We consider the first order Hamiltonian system q̇ = Hp(p, q), ṗ = −Hq(p, q), (HS) where p, q : ℝ → ℝ N (N ≥ 3), H ∈ C 1 (ℝ N × ℝ
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