On the solvability of the multidimensional version of the first Darboux problem for a model second-order degenerating hyperbolic equation.
Kharibegashvili, S. (1997)
Georgian Mathematical Journal
Similarity:
Displaying similar documents to “Nonlocal and initial problems for quasilinear nonstrictly hyperbolic equations with general solutions represented by superpositions of arbitrary functions.”
On the solvability of the multidimensional version of the first Darboux problem for a model second-order degenerating hyperbolic equation.
Nonlocal problem for the hyperbolic system of differential equation of the first order.
Zarȩba, Lech (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Similarity:
Continuity of solutions of a quasilinear hyperbolic equation with hysteresis
Petra Kordulová (2012)
Applications of Mathematics
Similarity:
This paper is devoted to the investigation of quasilinear hyperbolic equations of first order with convex and nonconvex hysteresis operator. It is shown that in the nonconvex case the equation, whose nonlinearity is caused by the hysteresis term, has properties analogous to the quasilinear hyperbolic equation of first order. Hysteresis is represented by a functional describing adsorption and desorption on the particles of the substance. An existence result is achieved by using an approximation...
On a Darboux problem for a third-order hyperbolic equation with multiple characteristics.
Jokhadze, O. (1995)
Georgian Mathematical Journal
Similarity:
Spatial problem of Darboux type for one model equation of third order.
Jokhadze, O. (1996)
Georgian Mathematical Journal
Similarity:
Oblique derivative problems for second-order hyperbolic equations with degenerate curve.
Wen, Guo-Chun (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
On uniqueness for a system of heat equations coupled in the boundary conditions.
Kordoš, M. (2004)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Contact geometry of hyperbolic equations of generic type.
The, Dennis (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
The mixed problem for an infinite system of first order functional differential equations.
Człapiński, Tomasz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Similarity:
A remark on uniqueness for quasilinear elliptic equations
N. André, M. Chipot (1996)
Banach Center Publications
Similarity:
Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations
Tomasz Człapiński (1992)
Annales Polonici Mathematici
Similarity:
Generalized solutions to quasilinear hyperbolic systems in the second canonical form are investigated. A theorem on existence, uniqueness and continuous dependence upon the boundary data is given. The proof is based on the methods due to L. Cesari and P. Bassanini for systems which are not functional.