On solvability of nonlinear boundary value problems with integral condition for the system of hyperbolic equations
For system of hyperbolic equations of second order a nonlinear boundary value problem with integral condition is considered. By introducing new unknown functions the investigated problem is reduced to an equivalent problem involving one-parametered family of boundary value problems with integral con...
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| Format: | Article |
| Language: | English |
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University of Szeged
2015-10-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3888 |
| Summary: | For system of hyperbolic equations of second order a nonlinear boundary value problem with integral condition is considered. By introducing new unknown functions the investigated problem is reduced to an equivalent problem involving one-parametered family of boundary value problems with integral condition and integral relations. Conditions for the existence of classical solutions to nonlinear boundary value problem with an integral condition for a system of hyperbolic equations are obtained. Algorithms for finding solutions are constructed, and their convergence are established. |
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| ISSN: | 1417-3875 1417-3875 |