Existence of positive periodic solutions of first‐order neutral differential equations
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DOI: 10.1002/mma.3981
Abstract: This paper presents the existence of positive periodic solutions for first-order neutral differential equation with distributed deviating arguments. We apply Krasnoselskii's fixed point theorem to obtain our results. An example is given to support the… read more here.
Keywords: order neutral; solutions first; first order; periodic solutions ... See more keywords
Pseudo almost periodic solutions of infinite class under the light of measure theory and applications
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DOI: 10.1002/mma.7051
Abstract: The aim of this work is to present a new approach to study weighted pseudo almost periodic functions with infinite delay using the measure theory. We study the existence and uniqueness of (μ, ν)‐pseudo almost periodic… read more here.
Keywords: periodic solutions; solutions infinite; infinite class; almost periodic ... See more keywords
Time‐periodic solutions for the full quantum Euler equation
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DOI: 10.1002/mma.7615
Abstract: In this paper, we establish the existence and uniqueness of a time‐periodic solution to the full compressible quantum Euler equations. First, we prove the existence of time‐periodic solutions under some smallness assumptions imposed on the… read more here.
Keywords: periodic solutions; time; quantum euler; time periodic ... See more keywords
Existence and Regularity of Periodic Solutions to Certain First-Order Partial Differential Equations
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DOI: 10.1007/s00041-016-9463-0
Abstract: We present conditions on the coefficients of a class of vector fields on the torus which yield a characterization of global solvability as well as global hypoellipticity, in other words, the existence and regularity of… read more here.
Keywords: periodic solutions; certain first; regularity periodic; solutions certain ... See more keywords
Time Periodic Solutions for 3D Quasi-Geostrophic Model
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DOI: 10.1007/s00220-021-04290-w
Abstract: This paper aims to study time periodic solutions for 3D inviscid quasi-geostrophic model. We show the existence of non trivial rotating patches by suitable perturbation of stationary solutions given by generic revolution shapes around the… read more here.
Keywords: periodic solutions; quasi geostrophic; time periodic; geostrophic model ... See more keywords
Periodic Solutions of a Class of Non-autonomous Discontinuous Second-Order Differential Equations
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DOI: 10.1007/s10883-018-9426-7
Abstract: We consider the second-order discontinuous differential equation y ″ + η sgn( y ) = 𝜃 y + α sin( β t ) where the parameters η , 𝜃 , α , and β are… read more here.
Keywords: non autonomous; class non; periodic solutions; solutions class ... See more keywords
Real Analytic Quasi-Periodic Solutions with More Diophantine Frequencies for Perturbed KdV Equations
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DOI: 10.1007/s10884-016-9529-3
Abstract: In this paper, we consider the perturbed KdV equation with Fourier multiplier $$\begin{aligned} u_{t} =- u_{xxx} + \big (M_{\xi }u+u^3 \big )_{x},\quad u(t,x+2\pi )=u(t,x),\quad \int _0^{2\pi }u(t,x)dx=0, \end{aligned}$$ut=-uxxx+(Mξu+u3)x,u(t,x+2π)=u(t,x),∫02πu(t,x)dx=0,with analytic data of size $$\varepsilon $$ε. We… read more here.
Keywords: real analytic; periodic solutions; perturbed kdv; quasi periodic ... See more keywords
Rapidly and Slowly Oscillating Periodic Solutions of a Delayed Van der Pol Oscillator
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DOI: 10.1007/s10884-017-9599-x
Abstract: In this paper, we introduce a method to prove existence of several rapidly and slowly oscillating periodic solutions of a delayed Van der Pol oscillator. The proof is a combination of pen and paper analytic… read more here.
Keywords: rapidly slowly; solutions delayed; periodic solutions; delayed van ... See more keywords
Periodic Solutions of Asymptotically Linear Autonomous Hamiltonian Systems with Resonance
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DOI: 10.1007/s10884-017-9608-0
Abstract: In this paper we define the index at infinity of an asymptotically linear autonomous Hamiltonian system. We use this index to prove the existence and bifurcation from infinity of periodic solutions of the system. We… read more here.
Keywords: periodic solutions; asymptotically linear; linear autonomous; solutions asymptotically ... See more keywords
Almost Periodic Solutions of Functional Equations
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DOI: 10.1007/s10958-017-3305-8
Abstract: We establish conditions for the existence of almost periodic solutions of linear and nonlinear almost periodic functional equations without using the -classes of these equations. read more here.
Keywords: almost periodic; functional equations; periodic solutions; solutions functional ... See more keywords
On Periodic Solutions of Autonomous Systems
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DOI: 10.1007/s10958-018-3681-8
Abstract: We propose a method for the investigation of periodic solutions of autonomous dynamical systems described by ordinary differential equations with phase and integral restrictions. We formulate the general problem of periodic solutions as a boundary-value… read more here.
Keywords: periodic solutions; solutions autonomous; control; autonomous systems ... See more keywords