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Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation
the first Painlevé hierarchy non-generic critical behavior the KdV equation
2011/8/23
Abstract: We establish the existence of real pole-free solutions to all even members of the Painlev\'e I hierarchy. We also obtain asymptotics for those solutions and describe their relevance in the d...
Positive solutions for Second-Order Boundary Value Problem with Integral Boundary Conditions at Resonance on a Half-Line
Boundary value problem Resonance Cone Positive solution Coincidence
2010/1/22
This paper deals with the second order boundary value problem with integral boundary conditions on a half-line: a.e. in A new result on the existence of positive solutions is obta...