Positive solutions for a singular second-order ordinary differential equation.
Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Masatomo Takahashi (2007)
Colloquium Mathematicae
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A complete solution of an implicit second order ordinary differential equation is defined by an immersive two-parameter family of geometric solutions on the equation hypersurface. We show that a completely integrable equation is either of Clairaut type or of first order type. Moreover, we define a complete singular solution, an immersive one-parameter family of singular solutions on the contact singular set. We give conditions for existence of a complete solution and a complete singular...
Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Ladopoulos, E.G. (1988)
International Journal of Mathematics and Mathematical Sciences
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J.D. Keckic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Jesús M. F. Castillo, Marilda Simoes, Jesús Suárez de la Fuente (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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We exhibit new examples of weakly compact strictly singular operators with dual not strictly cosingular and characterize the weakly compact strictly singular surjections with strictly cosingular adjoint as those having strictly singular bitranspose. We then obtain new examples of super-strictly singular quotient maps and show that the strictly singular quotient maps in Kalton-Peck sequences are not super-strictly singular.
Miroljub Jevtić (1983)
Publications de l'Institut Mathématique
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Montaño, Emedin, Salas, Mario, Soto, Ricardo L. (2009)
Mathematical Problems in Engineering
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Kusano, Takaŝi, Naito, Manabu (2000)
Journal of Inequalities and Applications [electronic only]
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E. G. Ladopoulos, V. A. Zisis (1997)
Applications of Mathematics
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Non-linear singular integral equations are investigated in connection with some basic applications in two-dimensional fluid mechanics. A general existence and uniqueness analysis is proposed for non-linear singular integral equations defined on a Banach space. Therefore, the non-linear equations are defined over a finite set of contours and the existence of solutions is investigated for two different kinds of equations, the first and the second kind. Moreover, the existence of solutions...