Results 41 to 50 of about 3,713 (117)
Global Solution and Asymptotic Behaviour for a Wave Equation type p-Laplacian with Memory
Open Journal of Mathematical Analysis, 2018 In this work we study the global solution, uniqueness and asymptotic behaviour of the nonlinear equation utt − ∆pu = ∆u− g ∗ ∆u where ∆pu is the nonlinear p-Laplacian operator, p ≥ 2 and g ∗ ∆u is a memory damping.
C. Raposo, A. Cattai, J. Ribeiro
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Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2035-2052, 2003., 2003 We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small displacements.
J. Límaco, H. R. Clark, L. A. Medeiros
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Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation
Abstract and Applied Analysis, Volume 2003, Issue 9, Page 521-538, 2003., 2003 We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.
Nikos Karachalios +2 more
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Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions Two and Three [PDF]
, 2005 2000 Mathematics Subject Classification: 35L15, 35B40, 47F05.We prove dispersive estimates for solutions to the wave equation with a real-valued potential ...
Cardoso, Fernando +2 more
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A remark on reaction-diffusion equations in unbounded domains
, 2002 We prove the existence of a compact L^2-H^1 attractor for a reaction-diffusion equation in R^n. This improves a previous result of B. Wang concerning the existence of a compact L^2-L^2 attractor for the same equation.Comment: 6 pages; to appear on "Discr.
Prizzi, Martino
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We investigate the initial value problem associated to the higher order nonlinear Schrödinger equation i∂tu+−1j+1∂x2ju=u2ju x,t≠0∈ℝ,ux,0=u0x, where j ≥ 2 is any integer, u is a complex valued function, and the initial data u0 is real analytic on ℝ and has a uniform radius of spatial analyticity σ0 in the space variable.
Tegegne Getachew +3 more
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Feedback stabilization of semilinear heat equations
Abstract and Applied Analysis, Volume 2003, Issue 12, Page 697-714, 2003., 2003 This paper is concerned with the internal and boundary stabilization of the steady‐state solutions to quasilinear heat equations via internal linear feedback controllers provided by an LQ control problem associated with the linearized equation.
V. Barbu, G. Wang
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Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]
, 2003 2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
core
Journal of Mathematics, Volume 2025, Issue 1, 2025.A fourth‐order p(x)‐biharmonic‐type hyperbolic equation with variable‐exponent nonlinearities is considered. The global existence of solutions has been obtained by potential well theory and the continuous principle. Qualitative properties related to the stability of the solution of this equation are obtained using the method of the well‐known Komornik ...
Billel Gheraibia +4 more
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Existence and nonexistence of entire solutions to the logistic differential equation
Abstract and Applied Analysis, Volume 2003, Issue 17, Page 995-1003, 2003., 2003 We consider the one‐dimensional logistic problem (rαA(|u′|)u′) ′=rαp(r)f(u) on (0, ∞), u(0) > 0, u′(0) = 0, where α is a positive constant and A is a continuous function such that the mapping tA(|t|) is increasing on (0, ∞). The framework includes the case where f and p are continuous and positive on (0, ∞), f(0) = 0, and f is nondecreasing.
Marius Ghergu, Vicenţiu Rădulescu
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