An abstract version of the resonance theorem
B. Przeradzki (1991)
Annales Polonici Mathematici
Nebojša L. Lažetić, Olivera R. Đorđević (2002)
Matematički Vesnik
Zbigniew Binderman (1993)
Collectanea Mathematica
In the present paper initial operators for a right invertible operator, which are induced by sequential shifts and have the property c(R) are constructed. An application to the Lagrange type interpolation problem is given. Moreover, an example with the Pommiez operator is studied.
Rubio, G., Jódar, L. (1991)
Portugaliae mathematica
Ulrich Trottenberg (1975)
Manuscripta mathematica
А.Г. Колпаков (1983)
Sibirskij matematiceskij zurnal
Bognár, Gabriella, Došlý, Ondřej (2009)
Journal of Inequalities and Applications [electronic only]
Fulvio Ricci, Anita Tabacco Vignati (1994)
Journal für die reine und angewandte Mathematik
M.G. Ulmet (1992)
Semigroup forum
Denche, M., Kourta, A. (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Nguyen Van Mau (1992)
Denche, Mohamed, Meziani, Abderrahmane (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Houshang H. Sohrab (1983)
Manuscripta mathematica
N. U. Ahmed (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this note we present a result on compactness in certain Banach spaces of vector valued functions. We demonstrate an application of this result to the questions of existence of solutions of nonlinear differential inclusions on a Banach space.
Robert M. Kauffman (1972)
Journal für die reine und angewandte Mathematik
Yakubov, Yakov (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Frank Natterer (1975)
Aequationes mathematicae
Frank Natterer (1974)
Aequationes mathematicae
Feng, Wenying (2000)
International Journal of Mathematics and Mathematical Sciences
Antonio Attalienti, Michele Campiti (2000)
Studia Mathematica
The present paper is concerned with the study of the differential operator Au(x):=α(x)u”(x)+β(x)u’(x) in the space C([0,1)] and of its adjoint Bv(x):=((αv)’(x)-β(x)v(x))’ in the space , where α(x):=x(1-x)/2 (0≤x≤1). A careful analysis of their main properties is carried out in view of some generation results available in [6, 12, 20] and [25]. In addition, we introduce and study two different kinds of Beta-type operators as a generalization of similar operators defined in [18]. Among the corresponding...