On the uniqueness of solutions to the weighted initial value problem for higher-order evolution singular functional-differential equations.
Sokhadze, Z. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Sokhadze, Z. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Sokhadze, Z. (1998)
Memoirs on Differential Equations and Mathematical Physics
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Mukhigulashvili, S. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Azbelev, N.V., Rakhmatullina, L.F. (1996)
Memoirs on Differential Equations and Mathematical Physics
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Liliana De Rosa, Carlos Segovia (1990)
Colloquium Mathematicae
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Dazhao Chen (2014)
Colloquium Mathematicae
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We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.
Yakovlev, M.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Kiguradze, I., Sokhadze, Z. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Usanetashvili, Mikheil (1997)
Memoirs on Differential Equations and Mathematical Physics
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M. Cecchi, M. Marini, P. L. Zezza (1984)
Annales Polonici Mathematici
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Xi Chen (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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An improved multiple Cotlar inequality is obtained. From this result, weighted norm inequalities for the maximal operator of a multilinear singular integral including weak and strong estimates are deduced under the multiple weights constructed recently.
Daqing Jiang (2000)
Annales Polonici Mathematici
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We study the existence of positive solutions to the singular boundary value problem for a second-order FDE ⎧ u'' + q(t) f(t,u(w(t))) = 0, for almost all 0 < t < 1, ⎨ u(t) = ξ(t), a ≤ t ≤ 0, ⎩ u(t) = η(t), 1 ≤ t ≤ b, where q(t) may be singular at t = 0 and t = 1, f(t,u) may be superlinear at u = ∞ and singular at u = 0.
Geraldo Soares De Souza (1990)
Colloquium Mathematicae
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Lomtatidze, A., Mukhigulashvili, S. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Lomtatidze, A., Mukhigulashvili, S. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Mukhigulashvili, S. (1995)
Memoirs on Differential Equations and Mathematical Physics
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