The existence and the uniqueness of distributional solutions of some systems of non-linear differential equations
Jan Ligęza (1977)
Časopis pro pěstování matematiky
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Jan Ligęza (1977)
Časopis pro pěstování matematiky
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Roman Sikorski (1961)
Studia Mathematica
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M. Bouchekif (1994)
Publicacions Matemàtiques
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In this paper, we obtain some existence theorems of nonnegative solutions with compact support for homogeneous Dirichlet elliptic problems; we also extend these results to parabolis systems. Supersolution and comparison principles are our main ingredients.
L. Carlitz (1965)
Collectanea Mathematica
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Breves Filho, J.A. (1974)
Portugaliae mathematica
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Pavel Bartoš, Josef Kaucký (1966)
Matematicko-fyzikálny časopis
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Roman Sikorski (1961)
Studia Mathematica
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R. Ramírez, N. Sadovskaia (1996)
Collectanea Mathematica
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The aim of this paper is to construct the analytic vector fields with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.