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Displaying 581 – 600 of 2236

Existence and boundary stabilization of a nonlinear hyperbolic equation with time-dependent coefficients.

Cavalcanti, M.M., Domingos Cavalcanti, V.N., Soriano, J.A. (1998)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence and boundary stabilization of the semilinear Mindlin-Timoshenko system.

Araruna, F.D., Borges, J.E.S. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence and non-existence of global solutions for nonlinear hyperbolic equations of higher order

Guo Wang Chen, Shu Bin Wang (1995)

Commentationes Mathematicae Universitatis Carolinae

The existence and uniqueness of classical global solution and blow up of non-global solution to the first boundary value problem and the second boundary value problem for the equation $u_{t t} - α u_{x x} - β u_{x x t t} = ϕ {(u_{x})}_{x}$ are proved. Finally, the results of the above problem are applied to the equation arising from nonlinear waves in elastic rods $u_{t t} - [a_{0} + n a_{1} {(u_{x})}^{n - 1}] u_{x x} - a_{2} u_{x x t t} = 0 .$

Existence and nonexistence results for reaction-diffusion equations in product of cones

Abdallah Hamidi, Gennady Laptev (2003)

Open Mathematics

Problems of existence and nonexistence of global nontrivial solutions to quasilinear evolution differential inequalities in a product of cones are investigated. The proofs of the nonexistence results are based on the test-function method developed, for the case of the whole space, by Mitidieri, Pohozaev, Tesei and Véron. The existence result is established using the method of supersolutions.

Existence and stability results of nonlinear higher-order wave equation with a nonlinear source term and a delay term

Mama Abdelli, Abderrahmane Beniani, Nadia Mezouar, Ahmed Chahtou (2023)

Mathematica Bohemica

We consider the initial-boundary value problem for a nonlinear higher-order nonlinear hyperbolic equation in a bounded domain. The existence of global weak solutions for this problem is established by using the potential well theory combined with Faedo-Galarkin method. We also established the asymptotic behavior of global solutions as $t \to \infty$ by applying the Lyapunov method.

Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary.

Santos, M.L., Ferreira, J., Raposo, C.A. (2005)

Abstract and Applied Analysis

Existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via Galerkin's method.

Guezane-Lakoud, Assia, Dabas, Jaydev, Bahuguna, Dhirendra (2011)

International Journal of Mathematics and Mathematical Sciences

Existence and uniqueness of pseudo almost automorphic mild solutions to some classes of partial hyperbolic evolution equations.

Hu, Zhanrong, Jin, Zhen (2008)

Discrete Dynamics in Nature and Society

Existence and uniqueness of solutions of nonlocal problems for hyperbolic equation $u_{x t} = F (x, t, u, u_{x})$ .

Byszewski, L. (1990)

Journal of Applied Mathematics and Stochastic Analysis

Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations

Jan Turo (1987)

Mathematica Slovaca

Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms

Viorel Barbu, Irena Lasiecka, Mohammad Rammaha (2005)

Control and Cybernetics

Existence, blow-up and exponential decay for a nonlinear Love equation associated with Dirichlet conditions

Le Thi Phuong Ngoc, Nguyen Thanh Long (2016)

Applications of Mathematics

In this paper we consider a nonlinear Love equation associated with Dirichlet conditions. First, under suitable conditions, the existence of a unique local weak solution is proved. Next, a blow up result for solutions with negative initial energy is also established. Finally, a sufficient condition guaranteeing the global existence and exponential decay of weak solutions is given. The proofs are based on the linearization method, the Galerkin method associated with a priori estimates, weak convergence,...

Existence de lois de conservation dans le cas cyclique

Patrick Cabau, Joseph Grifone, Mohamad Mehdi (1991)

Annales de l'I.H.P. Physique théorique

Existence, decay and blow up of solutions for the extensible beam equation with nonlinear damping and source terms

Erhan Pişkin (2015)

Open Mathematics

We consider the existence, both locally and globally in time, the decay and the blow up of the solution for the extensible beam equation with nonlinear damping and source terms. We prove the existence of the solution by Banach contraction mapping principle. The decay estimates of the solution are proved by using Nakao’s inequality. Moreover, under suitable conditions on the initial datum, we prove that the solution blow up in finite time.

Currently displaying 581 – 600 of 2236