Minimal solution of a Riccati type differential equation

• Autores: Gabriella Bognar, Ondrej Dosly
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 74, Fasc. 1-2, 2009, págs. 159-169
• Idioma: inglés
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• Resumen

  • We consider a Riccati type differential equation which appears in the oscillation theory of half-linear differential equations. We establish the existence of the so-called minimal solution of this equation and we investigate basic properties of this solution.

    In particular, we prove a Sturmian type theorem for minimal solutions of a pair of considered equations.