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Doctoral Thesis
DOI
Document
Author
Full name
Maria Angela de Pace Almeida Prado Giongo
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1989
Supervisor
Committee
Táboas, Plácido Zoega (President)
Freiria, Antonio Acra
Lopes, Orlando Francisco
Sinay, Leon Roque
Ventura, Aldo
Title in Portuguese
UM PROBLEMA DE VALORES DE CONTORNO DE DOIS PONTOS: BIFURCAÇÃO LOCAL E UM PROBLEMA INVERSO
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
A two point boundary value problem: local bifurcation and an inverse problem
Keywords in English
Not available
Abstract in English
Consider the two-point boundary value problem (1; λ, μ) x" + g ( t, x, x,', λ, μ) = 0 Mx(0) + Nx(b) = K where x = (x, x')t; M, N are 2x2 matrices such that the rank (M, N) = 2; K = (K1, K2)t is constant; λ μ are real parameters and g is a sufficiently smooth function of its five variables. If x0 = x0(t) is a solution of (1; 0,0), we study the local bifurcation of solutions of (1, λ, μ) near x0. There is a special emphasis on the case where g(t, x, x', 0, 0) = g (x, x') is autonomous under b-periodic boundary conditions, i.e., M = -N = I, K = 0. The case g(t, x, x', λ μ) =g(x, x') + λf1(t) + λf2 (t), with fj(t+b) = fj(t), j = 1, 2 is studied together with similar versions which include a forced Lotka-Volterra predator-prev model for two species.
 
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Publishing Date
2019-04-10
 
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