Displaying similar documents to “A Leighton-Borůvka formula for Morse conjugate points”

A singular version of Leighton's comparison theorem for forced quasilinear second order differential equations

Ondřej Došlý, Jaroslav Jaroš (2003)

Archivum Mathematicum

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We extend the classical Leighton comparison theorem to a class of quasilinear forced second order differential equations ( r ( t ) | x ' | α - 2 x ' ) ' + c ( t ) | x | β - 2 x = f ( t ) , 1 < α β , t I = ( a , b ) , ( * ) where the endpoints a , b of the interval I are allowed to be singular. Some applications of this statement in the oscillation theory of (*) are suggested.