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单侧条件下Liénard系统的调和解

, PP. 154-157

Keywords: Liénard方程,单侧条件,调和解,存在性

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Abstract:

研究了一类二阶微分方程x″+f(x)x′+g(x)=e(t)调和解的存在性.假设f(x)有界,g(x)满足新的单侧条件,即当x≥d时g(x)/x≥a,以及当x

References

[1]  Lazer A C. On Schauder’s fixed point and forced second order nonlinear oscillations[J]. J Math Anal Appl,1968,21:421-425.
[2]  Gossez J P, Omari P. Nonresonance with respect to the Fucik spectrum for periodic solutions of second order ordinary differential equations[J]. Nonlinear Anal,1990,14:1079-1104.
[3]  Mawhin J, Ward J R. Periodic solutions of second order forced Liénard differential equations at resonance[J]. Arch Math,1983,41:337-351.
[4]  Mawhin J. An extension of A. C. Lazer on forced nonlinear oscillations[J]. J Math Anal Appl,1972,40:20-29.
[5]  Mawhin J. Recent trends in nonlinear boundary value problems[C]//Proc 7th Int Conf Nonlinear Oscillation. Berlin:Springer-Verlag,1991:57-70.
[6]  Fernandes L, Zanolin F. Periodic solutions of a second order differential equation with one-sided growth restrictions on the restoring term[J]. Arch Math,1988,51:151-163.
[7]  Ding T, Iannacci R, Zanolin F. On periodic solutions of sublinear Duffing equations[J]. J Math Anal Appl,1991,158:316-332.
[8]  Omari P, Villari G, Zanolin F. Periodic solutions of Liénard differential equations with one-sided growth restriction[J]. J Diff Eqns,1987,67:278-293.
[9]  Fonda A, Zanolin F. On the use of time-maps for the solvability of nonlinear boundary value problems[J]. Arch Math,1992,59:245-295.
[10]  Wang Z. Periodic solutions of the second-order forced Liénard equation via time maps[J]. Nonlinear Anal,2002,48:445-460.
[11]  Lefschetz S. Existence of periodic solutions for certain differential equations[J]. Proc Natl Acad Sci USA,1943,29:29-32.
[12]  Ge W. On the existence of harmonic solutions of Liénard systems[J]. Nonlinear Anal,1991,16:183-190.

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