Periodic Solutions of a Class of Second Order Functional Differential Equations
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Lazer, A. C.: On Schauder’s fixed point theorem and forced second–order nonlinear oscillations. J. Math. Anal. Appl., 21, 421–425 (1968)
Mawhin, J., Ward, J. R.: Periodic solutions of some forced Liénard differential equations at resonance. Arch. Math., 41, 337–351 (1983)
Caristi, G.: Monotone perturbations of linear operator having nullspace made of oscillating functions. Nonlinear Anal., 11(7), 851–860 (1987)
Mawhin, J., Willem, M.: Critical Point Theory and Hamiltonian System, Springer–Verlag, New York, Berlin, 1989
Mawhin, J.: Nonlinear oscillations: One hundred years after Liapunov and Poincare. Z. Angew. Math. Mech., 73 (4–5), T54–T62 (1993)
Gossez, J. P., Omari, P.: Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance. J. Differential Equations, 94, 67–82 (1991)
Ma, S. W., Wang, Z. C., Yu, J. S.: Coincidence degree and periodic solutions of Duffing equations. Nonlinear Analysis, 34, 443–460 (1998)
Huang, X. K., Xing, Z. G.: 2π–periodic solution of Duffing equation with a deviating argument. Chinese, Sci. Bull. (Chinese), 39(3), 201–203 (1994)
Iannacci, R., Nkashama, M. N.: Unbounded perturbations of forced second order ordinary differential equations at resonance. J. Differential Equations, 69, 298–309 (1987)
Manasevich, R., Mawhin, J.: Periodic solutions for nonlinear systems with P–Laplacian–Like operators. J. Differential Equations, 145, 367–393 (1998)
Zhang, M.: Periodic solutions of Liénard equation with singular forces of repulsive type. J. Math. Anal. Appl., 203, 254–269 (1996)
Nguyen Phuony Cae: Periodic solutions of a second order nonlinear system. J. Math. Anal. Appl., 214, 219–232 (1997)
Katriel, G.: Many periodic solutions for pendulum–type equations. Nonlinear Analysis, 34, 687–699 (1998)
Omari, P.: Periodic solutions of the Liénard equation with one–sided growth restrictions. J. Differential Equations, 67, 278–293 (1987)
Mawhin, J.: Periodic solutions of nonlinear functional differential equations. J. Differential Equations, 10, 240–261 (1971)
Manasevich, R., Mawhin, J., Zanolin, F.: Periodic solutions of some complex–valued Lienard and Rayleigh equations. Nonlinear Analysis, 36, 997–1014 (1999)
Heiden, U. An Der: Periodic solutions of a nonlinear second order differential equation with delay. J. Math. Anal. Appl., 70, 579–609 (1979)