Results 31 to 40 of about 1,195 (85)
Journal of Applied Mathematics and Computational Mechanics, 2018 In this paper, we perform the frequency-expansion formula for the nonlinear cubic damping van der Pol’s equation, and the nonlinear frequency is derived.
Y. El‐Dib
semanticscholar +1 more source
Results in Physics, 2021 The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4+ T-cells are investigated by employing three recent analytical schemes along the Atangana–Baleanu fractional (ABF) derivative. This model is affected by
Mostafa M.A. Khater +2 more
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Abstract and Applied Analysis, Volume 1, Issue 3, Page 327-340, 1996., 1996 The exponential and asymptotic stability are studied for certain coupled systems involving unbounded linear operators and linear infinitesimal semigroup generators. Examples demonstrating the theory are also given from the field of partial differential equations.
Farid Ammar Khodja +2 more
wiley +1 more source
Existence and stability of fourth-order nonlinear plate problem
Nonautonomous Dynamical Systems, 2019 In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.
Messaoudi Salim A., Mukiawa Soh Edwin
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Advances in Nonlinear Analysis, 2022 In this article, we consider the upper critical Choquard equation with a local perturbation −Δu=λu+(Iα∗∣u∣p)∣u∣p−2u+μ∣u∣q−2u,x∈RN,u∈H1(RN),∫RN∣u∣2=a,\left\{\begin{array}{l}-\Delta u=\lambda u+\left({I}_{\alpha }\ast | u\hspace{-0.25em}{| }^{p})| u\hspace{
Li Xinfu
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On the exponential growth of solutions to non‐linear hyperbolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 539-545, 1989., 1989 Existence‐uniqueness theorems are proved for continuous solutions of some classes of non‐linear hyperbolic equations in bounded and unbounded regions. In case of unbounded region, certain conditions ensure that the solution cannot grow to infinity faster than exponentially.
H. Chi +3 more
wiley +1 more source
Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model
Alexandria Engineering Journal, 2022 In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan +2 more
doaj +1 more source
Dynamics on resonant clusters for the quintic non linear Schr\"odinger equation [PDF]
, 2012 We construct solutions to the quintic nonlinear Schr\"odinger equation on the circle with initial conditions supported on arbitrarily many different resonant clusters.
Haus, Emanuele, Thomann, Laurent
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Dynamical behaviour of an intraguild predator–prey model with prey refuge and hunting cooperation
Journal of Biological Dynamics, 2023 An intraguild predator–prey model including prey refuge and hunting cooperation is investigated in this paper. First, for the corresponding ordinary differential equation model, the existence and stability of all equilibria are given, and the existence ...
Xin-You Meng, Yan Feng
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Size-structured populations: immigration, (bi)stability and the net growth rate [PDF]
, 2009 We consider a class of physiologically structured population models, a first order nonlinear partial differential equation equipped with a nonlocal boundary condition, with a constant external inflow of individuals. We prove that the linearised system is
A.S. Ackleh +23 more
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