Paper's Title:

Bilinear Regular Operators on Quasi-Normed Functional Spaces

Author(s):

D. L. Fernandez and E. B. Silva

Universidade Estadual de Campinas - Unicamp
Instituto de Matematica
Campinas - SP
Brazil.
E-mail: dicesar@ime.unicamp.br

Universidade Estadual de Maringa--UEM
Departamento de Matematica
Av.~Colombo 5790
Maringa - PR
Brazil.
E-mail: ebsilva@uem.br

Abstract:

Positive and regular bilinear operators on quasi-normed functional spaces are introduced and theorems characterizing compactness of these operators are proved. Relations between bilinear operators and their adjoints in normed functional spaces are also studied.

Paper's Title:

A Study of the Effect of Density Dependence in a Matrix Population Model

Author(s):

N. Carter and M. Predescu

Department of Mathematical Sciences,
Bentley University,
Waltham, MA 02452,
U.S.A.
ncarter@bentley.edu
 mpredescu@bentley.edu

Abstract:

We study the behavior of solutions of a three dimensional discrete time nonlinear matrix population model. We prove results concerning the existence of equilibrium points, boundedness, permanence of solutions, and global stability in special cases of interest. Moreover, numerical simulations are used to compare the dynamics of two main forms of the density dependence function (rational and exponential).

Paper's Title:

Parameter dependence of the solution of second order nonlinear ODE's via Perov's fixed point theorem

Author(s):

A. M. Bica, S. Muresan and G. Grebenisan

University of Oradea,
Str. Armatei Romane no.5, 410087,
Oradea, Romania.
smbica@yahoo.com
smuresan@uoradea.ro
grebe@uoradea.ro

Abstract:

Using the Perov's fixed point theorem, the smooth dependence by parameter of the solution of a two point boundary value problem corresponding to nonlinear second order ODE's is obtained.

Paper's Title:

A Differential Sandwich Theorem for Analytic Functions Defined by the Generalized Sălăgean Operator

Author(s):

D. Răducanu and V. O. Nechita

Faculty of Mathematics and Computer Science,
"Transilvania" University Braşov
Str. Iuliu Maniu 50, 500091 Braşov,
Romania
dorinaraducanu@yahoo.com

Faculty of Mathematics and Computer Science,
"Babeş-Bolyai" University Cluj-Napoca,
Str. M. Kogalniceanu 1, 400084 Cluj-Napoca,
Romania
URL: http://math.ubbcluj.ro/~vnechita/
vnechita@math.ubbcluj.ro
 

Abstract:

We obtain some subordination and superordination results involving the generalized Sălăgean differential operator for certain normalized analytic functions in the open unit disk. Our results extend corresponding previously known results.

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