On solvability of boundary value problems for the wave equation with a nonlinear dissipation in noncylindrical domains.

Kozhanov, A.I.; Lar'kin, N.A.

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Regularizing a nonlinear integroparabolic Fokker--Planck equation with space-periodic solutions: existence of strong solutions.

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Qualitative behavior of a class of second order nonlinear differential equations on the halfline

Svatoslav Staněk (1993)

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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

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Chueshev, A.V. (2002)

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Qualitative investigation of nonlinear differential equations describing infiltration of water

Xingbao Wu (1995)

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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.