Some Existence and Stability Results for Hilfer-fractional Implicit Differential Equations with Nonlocal Conditions
Sign Up to like & getrecommendations! Published in 2018 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-1061-0
Abstract: The aim of this paper is to establish the existence and uniqueness results for implicit differential equations of Hilfer-type fractional order via Schaefer’s fixed point theorem and Banach contraction principle. Next, we establish the equivalent… read more here.
Keywords: implicit differential; existence stability; stability results; differential equations ... See more keywords
Evans functions and bifurcations of nonlinear waves of some nonlinear reaction diffusion equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.02.020
Abstract: Abstract The main purposes of this paper are to accomplish the existence, stability, instability and bifurcation of the nonlinear waves of the nonlinear system of reaction diffusion equations u t = u x x +… read more here.
Keywords: existence stability; nonlinear waves; reaction diffusion; stability ... See more keywords
Existence and stability of discrete solitons in nonlinear Schrödinger lattices with hard potentials
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DOI: 10.1016/j.physd.2019.132326
Abstract: Abstract In this paper we study the discrete solitons in nonlinear Schrodinger lattices with hard potentials. We first derive some sufficient conditions for the existence of discrete solitons in the anti-continuum limit. We then establish… read more here.
Keywords: discrete solitons; existence stability; lattices hard; stability ... See more keywords
Existence and stability of solitary waves for the inhomogeneous NLS
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DOI: 10.1016/j.physd.2020.132691
Abstract: Abstract In this paper, we identify necessary and sufficient conditions for the existence of appropriately localized waves for the inhomogeneous semi-linear Schrodinger equation driven by the subLaplacian dispersion operators ( − Δ ) s ,… read more here.
Keywords: solitary waves; waves inhomogeneous; stability solitary; existence stability ... See more keywords
Existence and stability of two periodic solutions for an interactive wild and sterile mosquitoes model
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Biological Dynamics"
DOI: 10.1080/17513758.2021.2023666
Abstract: In this paper, we study the periodic and stable dynamics of an interactive wild and sterile mosquito population model with density-dependent survival probability. We find a release amount upper bound , depending on the release… read more here.
Keywords: wild sterile; existence stability; periodic solutions; two periodic ... See more keywords
Existence and stability of relativistic fluid spheres supported by thin shells
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DOI: 10.1103/physrevd.102.064009
Abstract: We propose two models for constant density relativistic perfect-fluid spheres supported by thin-shell configurations. These models are obtained from the Schwarzschild constant density star solution: the first via the collapse of the external layers of… read more here.
Keywords: fluid spheres; supported thin; existence stability; spheres supported ... See more keywords
Existence and Stability of Equilibrium of DC Microgrid With Constant Power Loads
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DOI: 10.1109/tpwrs.2018.2849974
Abstract: Constant power loads (CPLs) are often the cause of instability and no equilibrium of dc microgrids. In this study, we analyze the existence and stability of equilibrium of dc microgirds with CPLs and the sufficient… read more here.
Keywords: power loads; existence stability; equilibrium; power ... See more keywords
Existence and stability of the relaxation cycle in a mathematical repressilator model
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DOI: 10.1134/s0001434617010072
Abstract: The three-dimensional nonlinear system of ordinary differential equations modeling the functioning of the simplest oscillatory genetic network, the so-called repressilator, is considered. The existence, asymptotics, and stability of the relaxation periodicmotion in this system are… read more here.
Keywords: stability relaxation; relaxation cycle; repressilator; existence stability ... See more keywords
Global existence and stability results for partial delay integro-differential equations with random impulses
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DOI: 10.2298/fil2301317a
Abstract: We investigate the global existence, continuous dependence and exponential stability for mild solutions of a class of delay partial integro-differential equation with random impulsive moments. The results are obtained by using the Leray-Schauder alternative fixed… read more here.
Keywords: existence stability; integro differential; global existence; stability results ... See more keywords
Existence, Stability and Dynamics of Nonlinear Modes in a 2D PartiallyPT Symmetric Potential
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DOI: 10.3390/app7030223
Abstract: It is known that multidimensional complex potentials obeying parity-time(PT)symmetry may possess all real spectra and continuous families of solitons. Recently, it was shown that for multi-dimensional systems, these features can persist when the parity symmetry… read more here.
Keywords: symmetric potential; partiallypt symmetric; existence stability; stability dynamics ... See more keywords