A PU-integral on a compact Hausdorff space.

A Riemann-Type Integral on a Measure Space

In a compact Hausdorff measure space we define an integral by partitions of the unity and prove that it is nonabsolutely convergent.

Multiplicity results for Sturm-Liouville boundary value problems

Multiplicity results for Sturm-Liouville boundary value problems are obtained. Proofs are based on variational methods.

An integral for a banach valued function

Abstract Using partitions of the unity ((PU)-partition), a new definition of an integral is given for a function f : [a, b] → X, where X is a Banach space, and it is proved that this integral is equivalent to the Bochner integral.

A PU-integral on an abstract metric space.