Now showing items 1-10 of 11
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 ...
Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory
(Springer Nature, 2005-01-01)
We present new existence results for singular discrete initial and boundary value problems. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign.
Solvability of singular second order m-point boundary value problems
(Elsevier BV, 2005-01-01)
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 ...
Multiplicity of positive periodic solutions to second order differential equations
(Cambridge University Press (CUP), 2006-04-01)
In this paper, we study the existence of positive periodic solutions to the equation x" = f (t, x). It is proved that such a equation has more than one positive periodic solution when the nonlinearity changes sign. ...
Dynamic equations on time scales: a survey
(Elsevier BV, 2002-04-01)
Fixed point theory for self maps between fréchet spaces
(Elsevier BV, 2001-04-01)
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') ...
Existence and quasilinearization in banach spaces
(Elsevier BV, 2009-10-01)