Results 181 to 190 of about 2,741,766 (204)

Homoclinic Solutions for a Forced Liénard Type System

Results in Mathematics, 2009
The author investigates the existence of homoclinic solutions of the forced Liénard type system \[ \ddot{x}+F(\dot{x})+ g(x)=p(t), \] where \(F\) and \(g\) are continuous functions on \(\mathbb{R}\) and \(p\) is a bounded continuous function on \(\mathbb{R}\).
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Existence and Uniqueness of Homoclinic Solution for a Rayleigh Equation with a Singularity

Qualitative Theory of Dynamical Systems, 2020
By using a continuation theorem of coincidence degree principle, the authors give some new results on the existence and uniqueness of homoclinic solution for the following singular Rayleigh equation, \[ x''(t)+f(x'(t))-g(x(t))-\frac{\alpha(t)x(t)}{1-x(t)}=h(t), \] where $f,g,h,\alpha:\mathbb{R}\rightarrow\mathbb{R}$ are continuous functions.
Lu, Shiping, Jia, Xuewen
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Homoclinic solutions for a class of fourth‐order difference equations

Mathematical Methods in the Applied Sciences, 2015
In this paper, a class of fourth‐order nonlinear difference equation is considered. By making use of the critical point theory, we establish various sets of sufficient conditions for the existence of homoclinic solutions and give some new results. One of our results generalizes and improves the results in the literature.
Shi, Haiping, Liu, Xia, Zhang, Yuanbiao
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Homoclinic Solutions for a Class of Second Order Hamiltonian Systems

Results in Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuan, Rong, Zhang, Ziheng
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MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR FRACTIONAL DISCRETE LAPLACIAN EQUATIONS

Rocky Mountain Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Homoclinic solutions for a class of second-order Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2009
X H Tang
exaly  

Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2011
Juan J Nieto, Juntao Sun
exaly  

Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential

Journal of Mathematical Analysis and Applications, 2009
X H Tang
exaly  

Multiplicity and concentration of homoclinic solutions for some second order Hamiltonian systems

Nonlinear Analysis: Theory, Methods & Applications, 2015
Juntao Sun, Tsung-Fang Wu
exaly  

Infinitely many homoclinic solutions for some second order Hamiltonian systems

Nonlinear Analysis: Theory, Methods & Applications, 2011
Juntao Sun
exaly