KAM theory for the reversible perturbations of 2D linear beam equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02575-9
Abstract: In the present paper, we prove an infinite dimensional reversible Kolmogorov-Arnold-Moser (KAM) theorem. As an application, we study the existence of KAM tori for a class of two dimensional (2D) non-Hamiltonian completely resonant beam equations… read more here.
Keywords: perturbations linear; theory; beam equations; reversible perturbations ... See more keywords
Infinitely Many Solutions for Impulsive Nonlocal Elastic Beam Equations
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DOI: 10.1007/s12591-017-0397-z
Abstract: In this paper, we study the existence of solutions for impulsive beam equations of Kirchhoff-type. By using critical point theory, we obtain some new criteria for guaranteeing that impulsive fourth-order differential equations of Kirchhoff-type have… read more here.
Keywords: beam equations; many solutions; infinitely many; impulsive nonlocal ... See more keywords
Quasi-periodic solutions to nonlinear beam equations on compact Lie groups with a multiplicative potential
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DOI: 10.1016/j.jde.2018.02.005
Abstract: The goal of this work is to study the existence of quasi-periodic solutions in time to nonlinear beam equations with a multiplicative potential. The nonlinearities are required to only finitely differentiable and the frequency is… read more here.
Keywords: multiplicative potential; nonlinear beam; periodic solutions; beam equations ... See more keywords
Uniform boundary observability of Finite Difference approximations of non-compactly coupled piezoelectric beam equations
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DOI: 10.1080/00036811.2021.1936508
Abstract: First, we study the space-dicretized Finite Difference approximations of the system of non-compactly coupled partial differential equations (PDE) model of piezoelectric beam equations involving mag... read more here.
Keywords: difference approximations; compactly coupled; non compactly; beam equations ... See more keywords
Monotonically Iterative Method for the Cantilever Beam Equations
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DOI: 10.3390/axioms12020178
Abstract: In this paper, we consider the existence of extremal solutions for the nonlinear fourth-order differential equation. By use of a new comparison result, some sufficient conditions for the existence of extremal solutions are established by… read more here.
Keywords: monotonically iterative; beam equations; method cantilever; iterative method ... See more keywords