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Families of Periodic Solutions of Resonant PDEs
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Dario Bambusi, Simone Paleari
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PERIODIC SOLUTIONS FOR RESONANT NONLINEAR PDES
Simone Paleari
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Quasi-Periodic Solutions to Nonlinear PDEs
We present recent developments in the theory of quasi-periodic solutions to nonlinear PDEs, such as the nonlinear Schrodinger and the nonlinear Klein-Gordon equations.
W.-M. Wang
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Nontrivial full bounded solutions of time-periodic semilinear parabolic PDEs
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.
Marian Mrożek, Krzysztof P. Rybakowski
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Periodic steady state solution of coupled PDE-ODE system for CMOS RF circuit simulation
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.
Wu Xin +5 more
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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 ...
Dong Liang, Paul Weng, Jian Wu
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One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem
Martin Stoll
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, 2020
In this paper, some new nonlinear fractional partial differential equations (PDEs) have been considered.Three models are including the space-time fractional-order Boussinesq equation, space-time (2 + 1)-dimensional breaking soliton equations, and space ...
J. Manafian, O. Ilhan, L. Avazpour
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In this paper, some new nonlinear fractional partial differential equations (PDEs) have been considered.Three models are including the space-time fractional-order Boussinesq equation, space-time (2 + 1)-dimensional breaking soliton equations, and space ...
J. Manafian, O. Ilhan, L. Avazpour
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On the multiplicity of periodic solutions of mountain pass type for a class of semilinear PDE’s
Journal of Fixed Point Theory and Applications, 2007We prove the existence of many mountain pass periodic solutions for a semilinear elliptic PDE on a torus.
Sergey Bolotin, Paul H. Rabinowitz
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