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The Existence of Triple Positive Solutions of Nonlinear Four-point Boundary Value Problem with p-Laplacian
p-Laplacian Avery-Peterson fixed-point theorem positive solution boundary value problem
2010/2/25
This paper deals with the multiplicity results of positive solutions of one-dimensional singular p-Laplace equation (jp(u'(t)))'+a(t)f(t,u(t),u'(t))=0, 0nonlinear boundary conditio...
Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales
Nonlinear systems Hamiltonian systems Lyapunov - type inequality Discongugacy Generalized zero Time Scale
2010/2/25
In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale T by using elementary time scale calculus. These inequalities enable us to obtain a criterio...
On Positive Solutions of Boundary Value Problems for Nonlinear Second Order Difference Equations
Difference equations boundary value problems positive solutions Green's function fixed point theorem in cones
2010/2/26
In this paper we study nonlinear second order difference equations subject to separated linear boundary conditions. Sign properties of the associated Green's functions are investigated and existence r...