The nonlinear wave equation
Bounded solutions for the nonlinear wave equation
... 3. Brezis, H, Nirenberg, L: Forced vibrations for a nonlinear wave equation. Commun. Pure Appl. Math. 31, 1-30 (1978) 4. Choi, QH, Jung, T: An application of a variational reduction method to a ...
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Blow up of the Solutions of Nonlinear Wave Equation
... of nonlinear wave equations in three space dimensions,” Manuscripta Mathematica, ...of nonlinear wave equation in Reissner-Nordstr¨om metric,” Dynamics of Partial Differential Equations, ...
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A nonexistence result for a nonlinear wave equation with damping on a Riemannian manifold
... 2. Zhang, QS: A blow-up result for a nonlinear wave equation with damping: the critical case. C. R. Acad. Sci., Sér. 1 Math. 333, 109-114 (2001) 3. Levine, HA: The role of critical exponents in ...
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Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential
... the nonlinear wave equation with singular Legendre potential u tt – u xx + V L (x)u + mu + perturbation = 0 subject to certain boundary conditions is considered, where m is a positive real number and ...
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The Problem of the Optimal Control with a Lower Coefficient for Weakly Nonlinear Wave Equation in the Mixed Problem
... mixed problem G.G Ismayilova Sumgait State University, Sumgait, Azerbaijan Abstract. In this paper, we consider the problem of determining the lowest coefficient of weakly nonlinear wave equation. ...
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An Efficient Technique for Solving Linear and Nonlinear Wave Equation within Local Fractional Operators
... and nonlinear partial differential equations and solving such differential equations is very ...and nonlinear wave equation with local ...
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Existence and exponential decay estimates for an N-dimensional nonlinear wave equation with a nonlocal boundary condition
... Full list of author information is available at the end of the article Abstract Motivated by the recent known results as regards the existence and exponential decay of solutions for wave equations, this paper is ...
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General energy decay for nonlinear wave equation of $phi-$Laplacian type with a delay term in the internal feedback
... Keywords: Nonlinear wave equation, Time delay term, Decay rate, Multiplier method, φ− ...the wave equations several main parts of mathematics are joined in a fruitful way, it is very ...
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Global classical solutions to the Cauchy problem for a nonlinear wave equation
... existence of a solution to the Cauchy problem (1.2) when the domain D(A) of the operator A have compact imersion on the real Hilbert space H and the M() is a nonnegative locally.. Lipsch[r] ...
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Invariant manifold of hyperbolic elliptic type for nonlinear wave equation
... In order to get a family of n -dimensional invariant tori by an infinitely dimensional version of KAM theorem developed by Kuksin [ 4 ] and Pöschel [ 9 ], it is necessary to assume that t[r] ...
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Global existence and blow up of solutions for a nonlinear wave equation with memory
... −ξ 1 g(t) ≤ g (t) ≤ −ξ 2 g(t), t ≥ 0, The authors established an exponential rate of decay. This latter result has been improved by Cavalcanti and Oquendo [18] and Berrimi and Messaoudi [19]. In their work, Cavalcanti ...
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Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms
... [8] Levine, H.A. (1974) Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equation. SIAM Journal on Mathematical Analysis, 5, 138-146. ...
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Existence and Asymptotic Behavior of Global Solutions for a Class of Nonlinear Higher Order Wave Equation
... higher-order wave equations,” Acta Mathematica ...a nonlinear wave equation with nonlinear damping and source terms,” Journal of Mathematical Analysis and Applications, ...
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High accuracy analysis of anisotropic finite element method for a class of nonlinear degenerate wave equation
... scheme is obtained based on the anisotropic interpolation theorem proposed in [5-7], and the integral identities developed in [8-10] with the help of interpolation of solution to the problem cosidered, instead of ...
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EXISTENCE AND NONEXISTENCE OF BIFURCATION OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... travelling wave solutions of nonlinear dispersive long wave equation by using Lyapunov- Schmidt ...reduced equation corresponding to the main ...
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Lower bounds for blow-up time of a nonlinear viscoelastic wave equation
... viscoelastic wave equation problems, for the method to estimate the derivative of the control functional in parabolic cases is no longer effective and the memory part makes it difficult to estimate the ...
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Stochastic quasilinear viscoelastic wave equation with nonlinear damping and source terms
... Abstract The goal of this study is to investigate an initial boundary value problem for the stochastic quasilinear viscoelastic wave equation involving the nonlinear damping |u t | q–2 u t and a ...
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Periodic wave solution of a second order nonlinear ordinary differential equation by
... The method provides us with a simple way to adjust the convergence region. Furthermore, a significant improvement of the convergence rate and region is achieved by applying Homotopy-Pad´ e approximants. Three examples ...
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THE CORRESPONDENCE BETWEEN TRAVELLING-WAVE SOLUTIONS OF A NONLINEAR REACTION-CONVECTION-DIFFUSION EQUATION AND AN INTEGRAL EQUATION. B.H.
... travelling wave is equivalent to the existence of a solution of a singular nonlinear integral ...integral equation is used to resolve an open question in the theory of finite speed of propagation for ...
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LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
... travelling wave solutions of nonlinear dispersive long wave equation by using Lyapunov-Schmidt ...reduced equation corresponding to the main problem, also we found the linear ...
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