Periodic solutions of nonlinear differential equations

Periodic Solutions of Nonlinear Partial Differential Equations

As the existence theory for solutions of nonlinear partial differential equations becomes better understood, one can begin to ask more detailed questions about the behavior of solutions of such equations. Given the bewildering complexity which can arise from relatively simple systems of ordinary differential equations, it is hopeless to try to describe fully the behavior which might arise from ...

Periodic Solutions of Nonlinear Differential Equations

The periodic boundary value problems of a class of nonlinear differential equations are investigated.

ON THE PERIODIC SOLUTIONS OF A CLASS OF nTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS *

The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.

Periodic Solutions of Some Differential Equations with Nonlinear Damping

The scientific legacy of Isaac Newton is remembered mainly for the discovery of infinitesimal calculus, at the same time of Leibniz, and gravitational theory, which explains completely the motion of the planets. After the revolution made by Newton’s laws in the knowledge of the universe, the interest of the scientific community was centered mainly on conservative systems, due to the influence o...

Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Condition