Results 191 to 200 of about 1,146 (216)

Families of Periodic Solutions of Resonant PDEs

Journal of Nonlinear Science, 2001
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Dario Bambusi, Simone Paleari
exaly   +4 more sources

Nontrivial full bounded solutions of time-periodic semilinear parabolic PDEs

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1991
SynopsisConsider the semilinear evolution equation(P) u + Au = f(t,u)where A is a sectorial operator on a Banach space and f is ω-periodic in t. Using a time-discrete Conley index developed in a previous paper [6], we prove a few existence results on bounded solutions of (P) defined for all t ∊ R.
Mrozek, Marian, Rybakowski, Krzysztof P.
openaire   +1 more source

On the multiplicity of periodic solutions of mountain pass type for a class of semilinear PDE’s

Journal of Fixed Point Theory and Applications, 2007
We prove the existence of many mountain pass periodic solutions for a semilinear elliptic PDE on a torus.
Sergey Bolotin, Paul H. Rabinowitz
openaire   +1 more source

Bifurcation of periodic solutions in PDE’s: Numerical techniques and applications

1990
The method of lines with different types of space discretization has been used for the study of the behaviour of solutions of two parabolic PDE’s with Brusselator reaction scheme in the form $$ \frac{{\partial x}}{{\partial t}} = \frac{{{D_x}}}{{{L^2}}}\frac{{{\partial ^2}x}}{{\partial {z^2}}} + {x^2}y - (B + 1)x + A $$ (1a) $$ \frac ...
M. Holodniok, M. Kubíček, M. Marek
openaire   +1 more source

Periodic steady state solution of coupled PDE-ODE system for CMOS RF circuit simulation

IEEE 2002 International Conference on Communications, Circuits and Systems and West Sino Expositions, 2003
We consider the numerical periodic steady state solution of a system of ordinary differential equations and partial differential equations arising from simulation of radio frequency circuits in which the MOSFETs are described by partial differential equations, rather than an equivalent circuit. An efficient iterative algorithm is presented.
null Xinyu Wu, null Jinmei Lai, null Omar Wing, null Qianling Zhang, null Junyan Ren, null Chengshou Sun   +5 more
openaire   +1 more source

Travelling wave solutions in a delayed predator-prey diffusion PDE system point-to-periodic and point-to-point waves

IMA Journal of Applied Mathematics, 2011
Summary: We develop a new method of combining the singular limit argument and the singular perturbation technique to establish the existence of the point-to-periodic heteroclinic travelling wave solutions connecting an equilibrium and a periodic travelling wave solution for a delayed predator-prey diffusion partial differential equation (PDE) system ...
Liang, Dong, Weng, Peixuan, Wu, Jianhong
openaire   +2 more sources

Periodic solutions of Hamiltonian PDEs

2004
This paper surveys some recent results about periodic solutions for Hamiltonian PDEs, which involve the small denominators difficulty. We considers in particular periodic orbits for completely resonant nonlinear wave equations and "Birkhoff-Lewis'' orbits with applications to a semilinear beam equation and to the nonlinear Schrödinger equation.
openaire   +2 more sources

Periodic and Quasi-Periodic Solutions of some Non-Linear Hamiltonian PDE's

Solutions périodiques et quasi-périodiques de certaines EDP hamiltoniennes non-linéaires Les équations aux dérivées partielles (EDP) permettent d’aborder d’un point de vue mathématique des phénomènes observés dans tous les domaines des sciences. Certaines EDP non-linéaires modélisent des problèmes de mécanique statistique, mécanique des
openaire   +1 more source

Small amplitude weak almost periodic solutions for the 1d NLS

Duke Mathematical Journal, 2023
Luca Biasco, Jessica Elisa Massetti, Michela Procesi   +2 more
exaly  

Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy

Mathematics, 2021
A D Polyanin, Vsevolod G Sorokin, Polyanin Andrei D   +2 more
exaly