Geodesic
Two-point boundary problem for string oscillation equation with given velocity in arbitrary point of time.~II
Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 62-70

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Boundary problem for string oscillation equation in half-string with given velocity at certain time point of string oscillation is considered. In the first part classical solutions for some special cases of given time and velocity of string points for the problem under discussion were obtained. Present article completes analysis of equation for the arbitrary time point in which velocity of string is specified. For this case analytical solution of boundary condition is derived. 
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     author = {V. I. Korzyuk and I. S. Kozlovskaya},
     title = {Two-point boundary problem for string oscillation equation with given velocity in arbitrary point of {time.~II}},
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     url = {http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a6/}
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V. I. Korzyuk; I. S. Kozlovskaya. Two-point boundary problem for string oscillation equation with given velocity in arbitrary point of time.~II. Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 62-70. http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a6/