Commutative neutrix convolution products of functions.
Fisher, Brian, Kiliçman, Adem (1994)
Commentationes Mathematicae Universitatis Carolinae
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Fisher, Brian, Kiliçman, Adem (1994)
Commentationes Mathematicae Universitatis Carolinae
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Dinariev, O.Yu. (2000)
Siberian Mathematical Journal
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Robert Dalmasso (1993)
Annales Polonici Mathematici
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We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.
Janusz Traple (1992)
Annales Polonici Mathematici
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An existence theorem is proved for the scalar convolution type integral equation .
G. Bhowmik, O. Ramaré (1998)
Acta Arithmetica
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Bouziani, A., Merazga, N. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Polovinkin, V.I. (2001)
Sibirskij Matematicheskij Zhurnal
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Vorob'eva, E.V., Romanovskij, R.K. (2000)
Siberian Mathematical Journal
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Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Pavlenko, A.S. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Jan Kowalski (1994)
Banach Center Publications
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Mironova, Yu.N. (2002)
Sibirskij Matematicheskij Zhurnal
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Ming-Xing Wang, Alberto Cabada, Juan J. Nieto (1993)
Annales Polonici Mathematici
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The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.
Borodin, O.V., Ivanova, A.O., Neustroeva, T.K. (2004)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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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.