A bifurcation theory for periodic solutions of nonlinear dissipative hyperbolic equations
A certain type of partial differential equations on tori
The existence of classical solutions for some partial differential equations on tori is shown.
A condition on the potential for the existence of doubly periodic solutions of a semi-linear fourth-order partial differential equation.
A further improved tanh function method exactly solving the -dimensional dispersive long wave equations.
A Hopf bifurcation generated by variation of the domain
A linear and weakly nonlinear equation of a beam: the boundary-value problem for free extremities and its periodic solutions
A Massera type criterion for a partial neutral functional differential equation.
A mathematical aspect for Liesegang phenomena
A mathematical model of suspension bridges
We prove the existence of weak T-periodic solutions for a nonlinear mathematical model associated with suspension bridges. Under further assumptions a regularity result is also given.
A maximum principle for systems with variational structure and an application to standing waves
We establish via variational methods the existence of a standing wave together with an estimate on the convergence to its asymptotic states for a bistable system of partial differential equations on a periodic domain. The main tool is a replacement lemma which has as a corollary a maximum principle for minimizers.
A monotonicity method for solving hyperbolic problems with hysteresis
A nonlinear second order problem with a nonlocal boundary condition.
A note on asymptotic expansion for a periodic boundary condition
The aim of this contribution is to present a new result concerning asymptotic expansion of solutions of the heat equation with periodic Dirichlet–Neuman boundary conditions with the period going to zero in D.
A note on the existence of positive solutions of one-dimensional -Laplacian boundary value problems
This paper is concerned with the existence of positive solutions of a multi-point boundary value problem for higher-order differential equation with one-dimensional -Laplacian. Examples are presented to illustrate the main results. The result in this paper generalizes those in existing papers.
A note to a bifurcation result of H. Kielhöfer for the wave equation
A modification of a classical number-theorem on Diophantine approximations is used for generalizing H. kielhöfer's result on bifurcations of nontrivial periodic solutions to nonlinear wave equations.
A note to the theory of periodic solutions of a parabolic equation
A Riesz representation formula for super-biharmonic functions.
A river water quality model for time varying BOD discharge concentration.
A two-species cooperative Lotka-Volterra system of degenerate parabolic equations.
Almost periodic solutions of nonlinear hyperbolic equations with time delay.