On a trace inequality for one-sided potentials and applications to the solvability of nonlinear integral equations.

Kokilashvili, V.; Meskhi, A.

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On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces.

Stepanov, V.D., Ushakova, E.P. (2010)

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

Svatoslav Staněk (1993)

Annales Polonici Mathematici

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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.

A two-dimensional Hammerstein problem: The linear case.

Hua, Jun, Moseley, James L. (2001)

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A metric result on the pair correlation of fractional parts of sequences

Zeév Rudnick, Alexandru Zaharescu (1999)

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On Tornheim's double series

James G. Huard, Kenneth S. Williams, Zhang Nan-Yue (1996)

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Qualitative investigation of nonlinear differential equations describing infiltration of water

Xingbao Wu (1995)

Annales Polonici Mathematici

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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.