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Fixed point theory for self maps between fréchet spaces
(Elsevier BV, 2001-04-01)
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 ...
Twin positive periodic solutions of second order singular differential systems
(Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University, 2005-06-01)
In this paper, we study positive periodic solutions to singular second order differential systems. It is proved that such a problem has at least two positive periodic solutions. The proof relies on a nonlinear alternative ...
Solvability of singular dirichlet boundary-value problems with given maximal values for positive solutions
(Cambridge University Press (CUP), 2005-02-01)
The singular boundary-value problem (g(x'(t)))' = muf (t, x(t), x'(t)), x(0) = x(T) = 0 and max {x(t) : 0 less than or equal to t less than or equal to T} = A is considered. Here p is the parameter and the negative function ...
Singular positone and semipositone boundary value problems of second order delay differential equations
(Institute of Mathematics, Czech Academy of Sciences, 2005-06-01)
In this paper we present some new existence results for singular positone and semipositone boundary value problems of second order delay differential equations. Throughout our nonlinearity may be singular in its dependent ...
Dead cores of singular dirichlet boundary value problems with ϕ-laplacian
(Institute of Mathematics, Czech Academy of Sciences, 2008-07-30)
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (phi(u'))' = lambda f(t, u, u'), u(0) = u(T) = A. Here lambda is the positive ...
Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals
(Division of Functional Equations, The Mathematical Society of Japan (JST), 2008-01-01)
The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x'(t))' + Phi(t)f(t,x,px') ...
Constant-sign solutions for systems of singular integral equations of hammerstein type
(Elsevier BV, 2009-10-01)