1D dirac operators with special periodic potentials
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Plamen Djakov, Boris Mityagin (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
M. Trifunovič (1970)
Matematički Vesnik
E. Hairer (1986)
Numerische Mathematik
Toshiaki Kusahara, Hiroyuki Usami (2000)
Czechoslovak Mathematical Journal
Hetzer, Georg (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Martina Pavlačková (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
In this paper, the existence and the localization result will be proven for vector Dirichlet problem with an upper-Carathéodory right-hand side. The result will be obtained by combining the continuation principle with bound sets technique.
Lee, Tai-Chi (1978)
Portugaliae mathematica
Józef Wenety Myjak (1973)
Annales Polonici Mathematici
Kosmatov, Nickolai (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Dolgii, Yu.F., Nidchenko, S.N. (2005)
Sibirskij Matematicheskij Zhurnal
Bartoň, Stanislav, Renčín, Lukáš (2017)
Programs and Algorithms of Numerical Mathematics
In his famous tetralogy, Space Odyssey, A. C. Clarke called the calculation of a motion of a mass point in the gravitational field of the massive cuboid a classical problem of gravitational mechanics. This article presents a proposal for a solution to this problem in terms of Newton's theory of gravity. First we discuss and generalize Newton's law of gravitation. We then compare the gravitational field created by the cuboid -- monolith, with the gravitational field of the homogeneous sphere. This...
Infante, G., Pietramala, P. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Zbigniew Leyk (1986)
Numerische Mathematik
Michal Fečkan (1992)
Mathematica Bohemica
The existence of classical solutions for some partial differential equations on tori is shown.
Naoki Tanaka (2001)
Studia Mathematica
A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation u'(t) = A(t)u(t) for t ∈ [0,T], in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.
Emilio Freire, Gasull, Armengol, Guillamon, Antoni 2 (2004)
Revista Matemática Iberoamericana
We present a description of isochronous centres of planar vector fields X by means of their groups of symmetries. More precisely, given a normalizer U of X (i.e., [X,U]= µ X, where µ is a scalar function), we provide a necessary and sufficient isochronicity condition based on µ. This criterion extends the result of Sabatini and Villarini that establishes the equivalence between isochronicity and the existence of commutators ([X,U]= 0). We put also special emphasis on the mechanical aspects of isochronicity;...
Gabriele Bonanno, Salvatore A. Marano (1995)
Commentationes Mathematicae Universitatis Carolinae
The aim of this short note is to present a theorem that characterizes the existence of solutions to a class of higher order boundary value problems. This result completely answers a question previously set by the authors in [Differential Integral Equations 6 (1993), 1119–1123].
Markin, Marat V. (2004)
Abstract and Applied Analysis
Marín, Julio, Cavani, Mario (2002)
Equadiff 10
Valter Šeda (1980)
Mathematica Slovaca
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