On~three-particle integrodifferential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 86-93

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Properties of the nonlocal operators $h$ of the system of integrodifferential equations for partial components of the three-particle wave function are explored. By means of expanding the two-variables functions sought for over the known eigen-functions of the $h$ operators the equations of the system are reduced to a system of ordinary second order differential equations for one-variable functions. It is shown that the expansion used is equivalent to the application of hyperharmonic approach to the Faddeev configuration space decomposition of the Schrödinger equation.
@article{TMF_1989_81_1_a7,
     author = {V. V. Pupyshev},
     title = {On~three-particle integrodifferential equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {86--93},
     publisher = {mathdoc},
     volume = {81},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a7/}
}
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V. V. Pupyshev. On~three-particle integrodifferential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 81 (1989) no. 1, pp. 86-93. http://geodesic.mathdoc.fr/item/TMF_1989_81_1_a7/