Coincidence theorems and applications in differentials equations.

• Grant number: 13/22328-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2014
• End date: February 28, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcelo da Silva Montenegro
• Grantee: Anderson Luis Albuquerque de Araujo
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The objective of this project is to study applications of coincidence degree theory to prove the existence and multiplicity of nontrivial periodic solutions for ordinary differential equations and partial differential equations.

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DE ARAUJO, ANDERSON L. A.; MONTENEGRO, MARCELO. The Mean Curvature Equation with Oscillating Nonlinearity. ADVANCED NONLINEAR STUDIES, v. 15, n. 1, p. 183-189, FEB 2015. (13/22328-8)

DE ARAUJO, ANDERSON; ABREU, RAFAEL. Existence of Solution for an Elliptic Problem with a Sublinear Term. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, v. 24, n. 2, p. 175-187, APR-JUN 2017. (13/22328-8)

DE ARAUJO, ANDERSON L. A.; MONTENEGRO, MARCELO. A CLASS OF PARABOLIC EQUATIONS DRIVEN BY THE MEAN CURVATURE FLOW. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 62, n. 1, p. 135-163, FEB 2019. (13/22328-8)

DE ARAUJO, ANDERSON L. A.; BOLDRINI, JOSE L.; CALSAVARA, BIANCA M. R.. An analysis of a mathematical model describing the geographic spread of dengue disease. Journal of Mathematical Analysis and Applications, v. 444, n. 1, p. 298-325, DEC 1 2016. (13/22328-8, 09/15098-0, 12/15379-2)

DE ARAUJO, ANDERSON L. A.; MONTENEGRO, MARCELO. Existence of solution for a general class of elliptic equations with exponential growth. Annali di Matematica Pura ed Applicata, v. 195, n. 5, p. 1737-1748, OCT 2016. (13/22328-8)

DE ARAUJO, ANDERSON L. A.; DE MAGALHAES, PAULO M. D.. Existence of solutions and optimal control for a model of tissue invasion by solid tumours. Journal of Mathematical Analysis and Applications, v. 421, n. 1, p. 842-877, JAN 1 2015. (13/22328-8)