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Positive solutions of nonlocal boundary value problems with singularities
G. Infante
In this note we discuss the existence of positive solutions for some nonlocal boundary value problem where the boundary conditions involve linear functionals on the space $C[0,1]$ and the involved nonlinearity might be singular. Our main ingredient is the theory of fixed point index.
keywords: cone positive solution Fixed point index
DCDS-S
A semilinear $A$-spectrum
C. T. Cremins G. Infante
Using the theory of $A$-proper maps, we give a new definition of spectrum for a semilinear pair $(L,F)$. Properties of this spectrum are given.
keywords: Nonlinear operator semilinear equations. spectrum $A$-proper map eigenvalues
DCDS-S
Positive solutions of some nonlinear BVPs involving singularities and integral BCs
G. Infante
In this paper we discuss the existence of positive solutions of some nonlocal boundary value problems subject to integral boundary conditions and where the involved nonlinearity might be singular.
keywords: Fixed point positive solution. cone

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