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Existence of Solutions for an Impulsive p-laplacian Equation with Nonresonance Conditions
This paper deals with a nonresonance problem given in the shape of a nonlinear impulsive differential equation with Dirichlet boundary conditions....
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Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions
We consider the periodic solutions of a semilinear variable coefficient wave equation arising from the forced vibrations of a nonhomogeneous string...
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Resolvent of a Schrödinger Operator on a Model Graph with Small Loops
We consider a Schrödinger operator on a model graph with small loops assuming the violation of the typical nonresonance condition which guarantees...
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A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems
In the first part of the paper we consider periodic perturbations of some planar Hamiltonian systems. In a general setting, we detect conditions...
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Reduction Techniques
We review nonautonomous versions of the two classical methods to simplify bifurcation problems: (1) centre integral manifolds allow a reduction in... -
Dynamics of Flexible Elements of a Drive under the Action of Impulsive Perturbations
For flexible elements of drives characterized by a constant speed of longitudinal motion, we propose a method for the analytic investigation of...
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Complement to Hölder’s Inequality for Multiple Integrals. II
AbstractThis article is the second and final part of my work published in the previous issue of the journal. The main result of the article is the...
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Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta–Kawashima condition
In the context of hyperbolic systems of balance laws, the Shizuta–Kawashima coupling condition guarantees that all the variables of the system are...
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Periodic Vibrations of a Beam with Rigidly Sealed Ends
We study the problem of searching periodic solutions to the Euler–Bernoulli equation governing vibrations of a beam with the boundary conditions...
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Decaying Oscillatory Perturbations of Hamiltonian Systems in the Plane
We study the influence of decaying perturbations on autonomous oscillatory systems in a plane under the assumption that the perturbations preserve...
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The KAM theorem on the modulus of continuity about parameters
In this paper, we study the Hamiltonian systems H ( y , x , ξ , ε ) = 〈 ω ( ξ ), y 〉+ εP ( y , x , ξ , ε ), where ω and P are continuous about ξ . We prove that...
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A damped elastodynamics system under the global injectivity condition: local wellposedness in \(L^p\)-spaces
The purpose of this paper is to model mathematically mechanical aspects of cardiac tissues. The latter constitute an elastic domain whose total...
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Reduction Techniques
We review nonautonomous versions of centre manifolds, namely centre fibre bundles, their Taylor approximation and the use of the Reduction Principle... -
Stability and Bifurcation of Resonance Periodic Motions of a Symmetric Satellite
We consider families of periodic motions emanating from the hyperboloidal precession of a satellite in the case of the third or fourth order...
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Existence and Multiplicity of Wave Trains in a 2D Diatomic Face-Centered Lattice
We investigate the existence and branching patterns of wave trains (also called periodic traveling waves) in a 2D face-centered square lattice...
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Problem on Periodic Vibrations of an I-beam with Clamped Endpoint in the Resonance Case
AbstractWe consider the problem about periodic solutions to a quasilinear equation of forced vibrations of an I-beam with one endpoint clamped and...
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Almost Global Existence for d-dimensional Beam Equation with Derivative Nonlinear Perturbation
This paper is devoted to the proof of almost global existence results for the d -dimensional beam equation with derivative nonlinear perturbation by...
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Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales
We prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time,...