Displaying similar documents to “Convexity of a class of functions related to classes of starlike functions and functions with boundary rotation”

Boundary subordination

Adam Lecko (2012)

Annales Polonici Mathematici

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We study the idea of the boundary subordination of two analytic functions. Some basic properties of the boundary subordination are discussed. Applications to classes of univalent functions referring to a boundary point are demonstrated.

A note on subordination.

Owa, Shigeyoshi (1986)

International Journal of Mathematics and Mathematical Sciences

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Positive solutions with given slope of a nonlocal second order boundary value problem with sign changing nonlinearities

P. Ch. Tsamatos (2004)

Annales Polonici Mathematici

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We study a nonlocal boundary value problem for the equation x''(t) + f(t,x(t),x'(t)) = 0, t ∈ [0,1]. By applying fixed point theorems on appropriate cones, we prove that this boundary value problem admits positive solutions with slope in a given annulus. It is remarkable that we do not assume f≥0. Here the sign of the function f may change.