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Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line

Hugo Carrasco, Feliz Minhós (2017)

Commentationes Mathematicae Universitatis Carolinae

This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.

Symmetric jump processes : localization, heat kernels and convergence

Richard F. Bass, Moritz Kassmann, Takashi Kumagai (2010)

Annales de l'I.H.P. Probabilités et statistiques

We consider symmetric processes of pure jump type. We prove local estimates on the probability of exiting balls, the Hölder continuity of harmonic functions and of heat kernels, and convergence of a sequence of such processes.

Systems of convolution equations and LAU-spaces

Daniele C. Struppa (1981)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Dato un sistema omogeneo di equazioni di convoluzione in spazi dotati di strutture analiticamente uniformi, si forniscono condizioni per ottenere teoremi di rappresentazione per le sue soluzioni.

Currently displaying 121 – 140 of 142