Homoclinic Orbits for Second-Order Hamiltonian Systems with Some Twist Condition
Keyword(s):
We study the existence and multiplicity of homoclinic orbits for second-order Hamiltonian systemsq¨−L(t)q+∇qW(t,q)=0, whereL(t)is unnecessarily positive definite for allt∈ℝ, and∇qW(t,q)is of at most linear growth and satisfies some twist condition between the origin and the infinity.
2011 ◽
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1995 ◽
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