Antiperiodic solutions for Liénard-type differential equation with p -Laplacian operator

Boundary Value Problems

Volumn 2010, Issue , 2010, Pages

  Chen, Taiyong ^a   Liu, Wenbin ^a   Yang, Cheng ^a  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77958085118     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1155/2010/194824     Document Type: Article

References (24)

1. Ahn C., Rim C., Boundary flows in general coset theories Journal of Physics 1999 32 13 2509 2525
2. Kleinert H., Chervyakov A., Functional determinants from Wronski Green functions Journal of Mathematical Physics 1999 40 11 6044 6051
3. Aizicovici S., McKibben M., Reich S., Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities Nonlinear Analysis. Theory, Methods Applications 2001 43 2 233 251
4. Nakao M., Existence of an anti-periodic solution for the quasilinear wave equation with viscosity Journal of Mathematical Analysis and Applications 1996 204 3 754 764
5. Souplet P., Optimal uniqueness condition for the antiperiodic solutions of some nonlinear parabolic equations Nonlinear Analysis. Theory, Methods Applications 1998 32 2 279 286
6. Lu Z., Travelling Tube 1962 Shanghai, China Shanghai Science and Technology Press
7. Chen Y. Q., On Massera's theorem for anti-periodic solution Advances in Mathematical Sciences and Applications 1999 9 1 125 128
8. Yin Y., Monotone iterative technique and quasilinearization for some anti-periodic problems Nonlinear World 1996 3 2 253 266
9. Aftabizadeh A. R., Pavel N. H., Huang Y. K., Anti-periodic oscillations of some second-order differential equations and optimal control problems Journal of Computational and Applied Mathematics 1994 52 13 3 21
10. Chen T., Liu W., Zhang J., Zhang M., The existence of anti-periodic solutions for Linard equations Journal of Mathematical Study 2007 40 2 187 195
11. Liu B., Anti-periodic solutions for forced Rayleigh-type equations Nonlinear Analysis. Real World Applications 2009 10 5 2850 2856
12. Liu W. B., Zhang J. J., Chen T. Y., Anti-symmetric periodic solutions for the third order differential systems Applied Mathematics Letters. An International Journal of Rapid Publication 2009 22 5 668 673
13. Luo Z., Shen J., Nieto J. J., Antiperiodic boundary value problem for first-order impulsive ordinary differential equations Computers Mathematics with Applications 2005 49 2-3 253 261
14. Chen H. L., Antiperiodic wavelets Journal of Computational Mathematics 1996 14 1 32 39
15. Wang K., Li Y., A note on existence of (anti-)periodic and heteroclinic solutions for a class of second-order odes Nonlinear Analysis. Theory, Methods Applications 2009 70 4 1711 1724
16. Leibenson L. S., General problem of the movement of a compressible fluid in a porous medium Izvestiia Akademii Nauk Kirgizsko SSSR 1983 9 7 10
17. Jiang D., Gao W., Upper and lower solution method and a singular boundary value problem for the one-dimensional p -Laplacian Journal of Mathematical Analysis and Applications 2000 252 2 631 648
18. Lian L. F., Ge W. G., The existence of solutions of m-point p -Laplacian boundary value problems at resonance Acta Mathematicae Applicatae Sinica 2005 28 2 288 295
19. Liu B., Yu J. S., On the existence of solution for the periodic boundary value problems with p -Laplacian operator Journal of Systems Science and Mathematical Sciences 2003 23 1 76 85
20. Zhang J., Liu W., Ni J., Chen T., Multiple periodic solutions of p -Laplacian equation with one-side Nagumo condition Journal of the Korean Mathematical Society 2008 45 6 1549 1559
21. Chen Y., Nieto J. J., O'Regan D., Anti-periodic solutions for fully nonlinear first-order differential equations Mathematical and Computer Modelling 2007 46 9-10 1183 1190
22. Croce G., Dacorogna B., On a generalized Wirtinger inequality Discrete and Continuous Dynamical Systems 2003 9 5 1329 1341
23. Deimling K., Nonlinear Functional Analysis 1985 Berlin, Germany Springer xiv+450
24. R. E. Gaines and J. L. Mawhin, Coincidence Degree and Nonlinear Differential Equations, Lecture Notes in Mathematics, Vol. 568, Springer, Berlin, Germany, 1977.