“…, where x ∈ R m and V is 2π-periodic in t, has been extensively studied in the last three decades by the variational and others methods see [1][2][3][5][6][7][8][9][10][11][12][13][14][15][17][18][19][20][21] and the references therein. Here, using the averaging theory, we study the periodic solutions of the second order Hamiltonian system…”
Section: Introduction and Statement Of The Main Resultsmentioning
Abstract. We provide sufficient conditions for the existence of periodic solutions of the second order Hamiltonian system, where ε is a small parameter, x ∈ R and V (t, x) is 2π-periodic in t. Moreover we provide two applications.
“…, where x ∈ R m and V is 2π-periodic in t, has been extensively studied in the last three decades by the variational and others methods see [1][2][3][5][6][7][8][9][10][11][12][13][14][15][17][18][19][20][21] and the references therein. Here, using the averaging theory, we study the periodic solutions of the second order Hamiltonian system…”
Section: Introduction and Statement Of The Main Resultsmentioning
Abstract. We provide sufficient conditions for the existence of periodic solutions of the second order Hamiltonian system, where ε is a small parameter, x ∈ R and V (t, x) is 2π-periodic in t. Moreover we provide two applications.
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