Nonlinear hyperbolic
Blow-Up Results for a Nonlinear Hyperbolic Equation with Lewis Function
... The initial boundary value problem for a nonlinear hyperbolic equation with Lewis function in a bounded domain is considered. In this work, the main result is that the solution blows up in finite time if ...
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Global solutions for a nonlinear hyperbolic equation with boundary memory source term
... Under some conditions on nonlinear terms, they acquired the existence and uniform decay of solutions. Recently, Park and Park [12] generalized problem (1.2) by endowing with some discontinuous and multivalued ...
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Global Existence and Asymptotic Behavior of Solutions for Some Nonlinear Hyperbolic Equation
... The interaction between the damping and the source terms was first considered by Levine 8, 9 in the case p q 2. He showed that solutions with negative initial energy blow up in finite time. Georgiev and Todorova 10 ...
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Existence of solutions for a nonlinear hyperbolic parabolic equation in a non cylinder domain
... [8] studied the existence and uniqueness of global weak solutions for nonlinear equations associated with problem II with nonlinearity of... In this work w, stlx" the following prolhn Lo[r] ...
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Exponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong Dissipation
... In 8–10 , Yang studied the problem 1.1–1.3 and obtained global existence results under the growth assumptions on the nonlinear terms and initial data. These global existence results have been improved by Liu and ...
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Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain
... In this paper we study the existence of weak solutions of problem 1.1-1.3 and the decay of weak solutions for the system 1.1 perturbed by the dissipative term u Under the hypothesis that[r] ...
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Global solvability for damped abstract nonlinear hyperbolic systems
... Strain energy function theories typically emb o dy only elastic prop erties of elastomers or.. rubb ers and hence are mostly used in static (equilibrium) nite element analysis (e.g. natu[r] ...
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Adomian Decomposition Method for Solving Goursat's Problems
... and nonlinear hyperbolic equations of second-order, systems of nonlinear hyperbolic equations and fourth-order linear hyperbolic equations in which the attached conditions are given on ...
6
Existence of Optimal Control for a Nonlinear Partial Differential Equation of Hyperbolic Type
... Abstract. In this paper, we prove the existence of an optimal control for a nonlinear hyperbolic problem, examined in [3]. An estimation is used which makes it possible to extract from a minimiz- able ...
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On a nonolinear wave equation in unbounded domains
... Global solutions of the Cauc]ly problem for a nonlinear hyperbolic equation, Universit di Pisa, Dipartamento di Matematica, Roma 1982... Local solutions for Nonlinear Anal.[r] ...
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Forced Oscillation of Nonlinear Impulsive Hyperbolic Partial Differential Equation with Several Delays
... To the best of our knowledge, there is little work reported on the oscillation of second order impulsive partial functional differential equation with delays.. Motivated by this observat[r] ...
15
Best proximity points in partially ordered metric spaces
... are hyperbolic spaces. As nonlinear examples, one can consider the Hadamard manifolds [6], the Hilbert open unit ball equipped with the hyperbolic metric [12], and the CAT(0) spaces [16, 17, ...a ...
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Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces
... etc. Hyperbolic spaces are general in nature and have rich geometri- cal structures for different results with applications in topology, graph theory, multivalued analysis and metric fixed point ...of ...
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Effect of Weight Function in Nonlinear Part on Global Solvability of Cauchy Problem for Semi Linear Hyperbolic Equations
... [2] A. B. Aliev and B. H. Lichaei, “Existence and Non-Exis- tence of Global Solutions of the Cauchy Problem for High- er Semi-Linear Pseudo-Hyperbolic Equations,” Nonlinear Analysis, Theory, Methods and ...
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Development of singularities in solutions of a hyperbolic system
... , Global classical solutions for general quasilinear hyperbolic systems with decay initial data, Nonlinear Anal.. Mizel, Existence and nonexistence in the large of solutions of quasiline[r] ...
7
Approximation results for parameter estimation in non-linear elastomers
... This class of systems was introduced in [BGS, BLMY] and further studied in [BLGMY] as a model for the behavior of nonlinear elastomers . These materials, which are used in the development of active and passive ...
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Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
... homogeneous nonlinear boundary con- ditions are imposed on the lateral surface of the ...several nonlinear parabolic equations with nonlinear boundary conditions, (see also ...
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On the local dynamics of polynomial difference equations with fading stochastic perturbations
... Rodkina, On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations, J... Rodkina, Non-exponential stability and decay r[r] ...
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Sufficient Conditions of Optimality for Convex Differential Inclusions of Elliptic Type and Duality
... Mahmudov, “Locally Adjoint Mappings and Optimization of the First Boundary Value Problems for Hyperbolic Type Discrete and Differential Inclusions,” Nonlinear Analysis: Theory, Methods &[r] ...
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