[1] Hale J K. Ordinary Differential Equations[M].New York: Wiley Interscience,1969.
[2] Nagle R K. Nonlinear boundary value problems for ordinary differen tial equations with a small parameter[J]. SIAM J Math Analysis,1978,9(3):719-729.
[3] Mawhin J. Landesman-Lazter's type problems for nonlinear equations[A]. In: Conferenze Seminario Matematica[M]. Di Bari: Dell Universita,19 77,147.
[4] Fucik S. Solvability of Nonlinear Equations and Boundary Value P roblems[M]. Dordrecht,Holland: D.Reidel Publishing,1980.
[5] Nagle R K, Sinkala Z. Existence of 2π-periodic solutions for nonl inear systems of first-order ordinary differential equations at resonance[J]. Nonlinear Analysis(TMA),1995,25(1):1-16.
[6] MA Shi-wang, WANG Zhi-cheng, YU Jian-she. Coincidence degree and p eri odic solutions of Duffing equations[J]. Nonlinear Analysis(TMA),1998,34(2):443-460.
[7] Lazer A C, Leach D E. Bounded perturbations of forced harmonic osc illations at resonance[J] , Ann Mat Pura Appl,1969,82(1):4 9-68.
[8] Schuur J D. Perturbation at resonance for a fourth order ordinary differential equation[J]. J Math Anal Appl,1978,65(1):20 -25.
[9] DING Tong-ren.Nonlinear oscillations at a point of resonance[J].Sci China Series A,1982,(1):1~13.(in Chinese).
[10] HAO Dun-yuan, MA Shi-wang. Semilinear Duffing equations crossing resonance points[J]. J Differential Equations,1997,133(1):98-116.
[11] Mawhin J. Equivalence theorems for nonlinear operator equations a nd coincidence degree theory for some mapping in locally convex topological vect or spaces[J]. J Differential Equations,1972,12(2):610-6 36.
[12] Mawhin J. Topological Degree Methods in Nonlinear Boundary Valu e Problems CBMS[M]. Providence RI: Amer Math Soc,1979,40.
[13] Deimling K. Nonlinear Functional Analysis[M]. New York: Sp ringer-Verlag,1985. |
Email Alert
RSS