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On constant-sign periodic solutions in modelling the spread of interdependent epidemics
(Cambridge University Press (CUP), 2006-01-01)
We consider the following model that describes the spread of n types of epidemics which are interdependent on each other:
u(i)(t) = integral(t)(t-r) g(i)(t, s) f(i) (s, u(1)(s), u(2)(s),..., u(n)(s))ds, t is an element of ...
Singular integral equations and applications to nonlinear conjugate problems
(The Mathematical Society of the Republic of China, 2010-04-01)
In this paper, we establish the existence of multiple positive solutions for singular integral equations. The proof is based on a general existence principle established using a nonlinear alternative principle of Leray-Schauder ...