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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 ...
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.