Periodic Solutions for a Prescribed Mean Curvature Equation with Multiple Delays

We study the existence of periodic solutions for the one-dimensional prescribed mean curvature delay equation . By using Mawhin's continuation theorem, a new result is obtained. Furthermore, the nonexistence of periodic solution for the equation is investigated as well.

[1]  Baoqiang Yan,et al.  Exact Number of Solutions of A Prescribed Mean Curvature Equation , 2015 .

[2]  Hongjing Pan,et al.  Sub- and supersolution methods for prescribed mean curvature equations with Dirichlet boundary conditions , 2013 .

[3]  M. Feng,et al.  Exact number of solutions of a one-dimensional prescribed mean curvature equation with concave–convex nonlinearities☆ , 2012 .

[4]  Hongjing Pan,et al.  Exact multiplicity results for a one-dimensional prescribed mean curvature problem related to MEMS models , 2012 .

[5]  M. Feng Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument , 2012 .

[6]  J. Pelesko,et al.  Analysis of a one-dimensional prescribed mean curvature equation with singular nonlinearity , 2012, 1201.5432.

[7]  Hongjing Pan,et al.  A note on the nonexistence of solutions for prescribed mean curvature equations on a ball , 2011 .

[8]  Bendong Lou,et al.  Periodic traveling waves of a mean curvature equation in high dimensional cylinders , 2011, Appl. Math. Comput..

[9]  Hongjing Pan,et al.  Time maps and exact multiplicity results for one-dimensional prescribed mean curvature equations. II , 2011 .

[10]  Hongjing Pan One-dimensional prescribed mean curvature equation with exponential nonlinearity , 2009 .

[11]  P. Habets,et al.  Classical and non-classical solutions of a prescribed curvature equation , 2007 .

[12]  M. Bergner On the Dirichlet problem for prescribed mean curvature equation over general domains , 2007, 0712.0966.

[13]  P. Habets,et al.  Multiple positive solutions of a one-dimensional prescribed mean curvature problem , 2007 .

[14]  M. Pino,et al.  Ground states of a prescribed mean curvature equation , 2007 .

[15]  Ó JoãoMarcosdo,et al.  Periodic solutions for nonlinear equations with mean curvature-like operators , 2007, Appl. Math. Lett..

[16]  P. Habets,et al.  Classical and non-Classical Positive Solutions of a Prescribed Curvature Equation with Singularities , 2007 .

[17]  Ó. JoãoMarcosdo,et al.  Periodic solutions for nonlinear systems with mean curvature-like operators , 2006 .

[18]  P. Habets,et al.  Positive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General Domain , 2004 .

[19]  P. Amster,et al.  The prescribed mean curvature equation for nonparametric surfaces , 2003 .

[20]  Shi-pingLu,et al.  On the Existence of Positive Periodic Solutions for Neutral Functional Differential Equation with Multiple Deviating Arguments , 2003 .

[21]  O. Rey Heat flow for the equation of surfaces with prescribed mean curvature , 1991 .

[22]  R. Gaines,et al.  Coincidence Degree and Nonlinear Differential Equations , 1977 .