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On a nonlinear volterra equation
Author(s) -
Wroclaw W. Okrasiński,
Meister E.
Publication year - 1986
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670080123
Subject(s) - mathematics , volterra equations , nonlinear system , volterra integral equation , mathematical analysis , integral equation , physics , quantum mechanics
Nonnegative solutions u of the nonlinear Volterra equation u = a * g(u) ( g (0) = 0) in mathematical physics are considered. Under certain assumptions the nonhomogenuous equation u = a * g(u) + ƒ is studied. Some approximations of nonnegative solutions of the homogenuous equation are considered by the nonnegative solutions of the nonhomogenuous one.