Abstract

In this paper, existence criteria for three positive solutions to the second-order Neumann boundary value problems − u ″ + M u = f ( t , u ) , u ′ ( 0 ) = u ′ ( 1 ) = 0 , , and u ″ + M u = f ( t , u ) , u ′ ( 0 ) = u ′ ( 1 ) = 0 , , are established by using the Leggett-Williams fixed-point theorem. An example is also included to illustrate the importance of the result obtained.

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