Results 71 to 80 of about 7,158,567 (167)
Novel Hyperbolic Homoclinic Solutions of the Helmholtz-Duffing Oscillators [PDF]
, 2016 The exact and explicit homoclinic solution of the undamped Helmholtz-Duffing oscillator is derived by a presented hyperbolic function balance procedure.
Yang-Yang Chen +2 more
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Existence and multiplicity of homoclinic solutions for a second-order Hamiltonian system
Electronic Journal of Qualitative Theory of Differential Equations, 2019 Summary: In this paper, we find new conditions to ensure the existence of one nontrivial homoclinic solution and also infinitely many homoclinic solutions for the second order Hamiltonian system $$ \ddot{u}-a(t)\vert u\vert ^{p-2}u+\nabla W(t,u)=0,\qquad t\in \mathbb{R}, $$ where $p>2$, $a\in C(\mathbb{R}, \mathbb{R})$ with $\inf_{t\in \mathbb{R}}a(t ...
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Journal of Differential Equations, 2015 The authors sincerely apologize for the error in counting the codimension of bifurcations in the above published paper, which will be called [LLZ] for short. First, to fix the paper [LLZ], we look for bifurcations of heteroclinic solutions x(t) = γμ, rather than the homoclinic solutions as in [LLZ].
Xiao-Biao Lin, Bin Long, Changrong Zhu
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Homoclinic solutions to the gray-scott model [PDF]
, 2004 An elementary proof is presented on the existence of homoclinic solutions to the Gray-Scott model studied by Hale, Peletier and Troy [1]
Ai, Shangbing
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Homoclinic Solutions for a Class of Nonlinear Difference Equations [PDF]
, 2014 We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach.
Zhan Zhou, Ali Mai
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MULTIPLE HOMOCLINIC SOLUTIONS FOR THE DISCRETE $p(X)$-LAPLACIAN PROBLEMS OF KIRCHHOFF TYPE
Matematički VesnikSummary: In this paper we consider the discrete anisotropic difference equation with variable exponent using critical point theory. The study of nonlinear difference equations has now attracted special attention as they have important applications in various research areas such as numerical analysis, computer science, mechanical engineering, cellular ...
Ouedraogo, Y., Kone, B., Ouaro, S.
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Homoclinic Solutions of Hamiltonian Systems with Symmetry [PDF]
, 1999 We prove the existence of infinitely many homoclinic solutions for a first order Hamiltonian system, symmetric with respect to an action of a compact Lie group, by means of variational methods.
A. Szulkin +2 more
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Asymmetric spotty patterns for the Gray-Scott model in R^2 [PDF]
, 2003 In this paper, we rigorously prove the existence and stability of asymmetric spotty patterns for the Gray-Scott model in a bounded two dimensional domain.
Winter, M, Wei, J
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Abstract and Applied Analysis, 2014 This paper is concerned with the existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects. Some new results are obtained under more relaxed conditions by using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point theory.
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MULTIPLE OPTIMAL SOLUTIONS IN QUADRATIC PROGRAMMING MODELS [PDF]
The problem of determining whether quadratic programming models possess either unique or multiple optimal solutions is important for empirical analyses which use a mathematical programming framework.
Paris, Quirino
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