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Existence and multiplicity of positive solutions for singular semipositone $p$-laplacian equations
(Canadian Mathematical Society, 2006-06-01)
Positive solutions are obtained for the boundary value problem
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Here f(t, u) >= -M, (M is a positive constant) for (t, u) is an element of [0, 1] X (0, infinity). We will show the existence of two positive ...
Some nonoscillation criteria for inclusions
(Cambridge University Press (CUP), 2006-02-01)
New nonoscillatory criteria are presented for second order differential inclusions. The theory relies on Ky Fan's fixed point theorem for upper semicontinuous multifunctions.
General existence principles for nonlocal boundary value problems withφ-laplacian and their applications
(Hindawi Limited, 2006-01-01)
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 ...
Differential inclusions on proximate retracts of separable hilbert spaces
(Rocky Mountain Mathematics Consortium, 2006-06-01)
New existence results are presented which guarantee the existence of viable solutions to differential inclusions in separable Hilbert spaces. Our results rely on the existence of maximal solutions for an appropriate ...