On initial boundary value problem with Dirichlet integral conditions for a hyperbolic equation with the Bessel operator.
Bouziani, Abdelfatah (2003)
Journal of Applied Mathematics
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Displaying similar documents to “Hyperbolic differential-operator equations on a whole axis.”
On initial boundary value problem with Dirichlet integral conditions for a hyperbolic equation with the Bessel operator.
A mixed problem with only integral boundary conditions for a hyperbolic equation.
Bouziani, Abdelfatah (2004)
International Journal of Mathematics and Mathematical Sciences
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On the solvability of parabolic and hyperbolic problems with a boundary integral condition.
Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type
A. Berdyshev, E. Karimov (2006)
Open Mathematics
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In this work two non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type are considered. Unique solvability of these problems is proven. The uniqueness of the solution is proven by the method of energy integrals and the existence is proven by the method of integral equations.
Nonexistence of global solutions of a quasilinear bi-hyperbolic equation with dynamical boundary conditions.
Bayrak, Vural, Can, Mehmet (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Rothe time-discretization method for a nonlocal problem arising in thermoelasticity.
Merazga, Nabil, Bouziani, Abdelfatah (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Hilbert's type linear operator and some extensions of Hilbert's inequality.
Li, Yongjin, Wang, Zhiping, He, Bing (2007)
Journal of Inequalities and Applications [electronic only]
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A non-linear hyperbolic equation.
Henriques de Brito, Eliana (1980)
International Journal of Mathematics and Mathematical Sciences
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Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain.
Límaco, J., Clark, H.R., Medeiros, L.A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Linear hyperbolic problems in the whole scale of Sobolev-type spaces of periodic functions
Irina Kmit (2007)
Commentationes Mathematicae Universitatis Carolinae
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We study one-dimensional linear hyperbolic systems with -coefficients subjected to periodic conditions in time and reflection boundary conditions in space. We derive a priori estimates and give an operator representation of solutions in the whole scale of Sobolev-type spaces of periodic functions. These spaces give an optimal regularity trade-off for our problem.