Particular solutions of generalized Euler-Poisson-Darboux equation
In this article we consider the generalized Euler-Poisson-Darboux equation $$ {u}_{tt}+\frac{2\gamma }{t}{{u}_{t}}={u}_{xx}+{u}_{yy} +\frac{2\alpha }{x}{{u}_{x}}+\frac{2\beta }{y}{{u}_y},\quad x>0,\;y>0,\;t>0. $$ We construct particular solutions in an explicit form expressed by the L...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/09/abstr.html |