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Positive solvability of systems of nonlinear hammerstein integral equations
(Elsevier BV, 2005-11-01)
On the oscillation of certain third-order difference equations
(Springer Nature, 2005-01-01)
We establish some new criteria for the oscillation of third-order difference equations of the form Delta((1/a(2)(n))(Delta(1/a(1)(n))(Delta x(n))(alpha 1))(alpha 2)) + delta q(n)f(x[g(n)]) = 0, where Delta is the forward ...
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.
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 second order m-point boundary value problems
(Elsevier BV, 2005-01-01)
A leray-schauder alternative for weakly-strongly sequentially continuous weakly compact maps
(Springer Nature, 2005-01-01)
A new applicable Leray-Schauder alternative is presented for weakly-strongly sequentially continuous maps. This result is then used to establish a general existence principle for operator equations.
Multiple positive solutions of singular discrete p-laplacian problems via variational methods
(Springer Nature, 2005-01-01)
We obtain multiple positive solutions of singular discrete p-Laplacian problems using variational methods.
Existence results for first and second order semilinear impulsive differential inclusions
(Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University, 2005-09-01)
In this paper we prove existence results for first and second order semilinear impulsive differential inclusions in Banach spaces.
Compression–expansion fixed point theorem in two norms and applications
(Elsevier BV, 2005-09-01)