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Displaying 1381 – 1400 of 1901

Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions

Yuriy Golovaty, Volodymyr Flyud (2017)

Open Mathematics

We are interested in the evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph is studied. The hyperbolic equation becomes degenerate on a part of the graph as a small parameter goes to zero. In addition, the rates of degeneration may differ in different edges of the graph. Using the boundary layer method the complete asymptotic...

Slowly oscillating solutions of a parabolic inverse problem: boundary value problems.

Yang, Fenglin, Zhang, Chuanyi (2010)

Boundary Value Problems [electronic only]

Small random perturbations of infinite dimensional dynamical systems and nucleation theory

M. Cassandro, E. Olivieri, P. Picco (1986)

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

Smoothness and analycity for solutions of first order systems of partial differential equations on nilpotent Lie groups.

Lawrence. Corwin, B. Helffer (1985)

Inventiones mathematicae

Sobolev solution for semilinear PDE with obstacle under monotonicity condition.

Matoussi, Anis, Xu, Mingyu (2008)

Electronic Journal of Probability [electronic only]

Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique.

Shateri, Majid, Ganji, D.D. (2010)

International Journal of Differential Equations

Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise.

De Bouard, Anne, Debussche, Arnaud (2009)

Electronic Journal of Probability [electronic only]

Soliton type asymptotic solutions of the conserved phase field system.

Omel'yanov, G.A., Danilov, V.G., Radkevich, E.V. (1996)

Portugaliae Mathematica

Solitonová řešení a metoda obráceného rozptylu

Ladislav Hlavatý (1989)

Pokroky matematiky, fyziky a astronomie

Solution of Stefan problems by fully discrete linear schemes.

Handlovičová, A. (1998)

Acta Mathematica Universitatis Comenianae. New Series

Solution semigroup and invariant manifolds for functional equations with infinite delay

Hana Petzeltová (1993)

Mathematica Bohemica

It is proved that parabolic equations with infinite delay generate $C_{0}$ -semigroup on the space of initial conditions, such that local stable and unstable manifolds can be constructed for a fully nonlinear problems with help of usual methods of the theory of parabolic equations.

Solutions analytiques et hyperfonctions du problème de Cauchy pour les opérateurs hyperboliques non stricts

J. M. Bony, P. Schapira (1971/1972)

Séminaire Équations aux dérivées partielles (Polytechnique)

Solutions de viscosité des equations de Hamilton-Jacobi en dimension infinie. Cas stationnaire.

El Mahjoub El Haddad (1995)

Publicacions Matemàtiques

We show the uniqueness and the existence of viscosity solutions of Hamilton-Jacobi equations on a smooth Banach space. The tool used is the variational principle of Deville, Godefroy and Zizler. The existence is given by Perron’s method. So we give a comparison assertion for semicontinuous solutions.

Solutions fortes pour des problèmes aux limites du second ordre dégénérés

M. Langlais (1977/1978)

Séminaire Équations aux dérivées partielles (Polytechnique)

Solutions of fractional diffusion problems.

Ibrahim, Rabha W. (2010)

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

Solutions of Fractional Diffusion-Wave Equations in Terms of H-functions

Boyadjiev, Lyubomir, Al-Saqabi, Bader (2012)

Mathematica Balkanica New Series

MSC 2010: 35R11, 42A38, 26A33, 33E12The method of integral transforms based on joint application of a fractional generalization of the Fourier transform and the classical Laplace transform is utilized for solving Cauchy-type problems for the time-space fractional diffusion-wave equations expressed in terms of the Caputo time-fractional derivative and the Weyl space-fractional operator. The solutions obtained are in integral form whose kernels are Green functions expressed in terms of the Fox H-functions....

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