First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales

Ya-Hong Zhao

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-8

Abstract:

This work is concerned with the following first-order dynamic equation on time scale ,   x Δ ( t ) + p ( t ) x ( σ ( t ) ) = f ( t , x ( t ) ) ,   t ∈ [ 0 , T ] 𝕋 with the nonlinear boundary condition x ( 0 ) = g ( x ( σ ( T ) ) ) . By applying monotone iteration method, we not only obtain the existence of positive solutions, but also establish iterative schemes for approximating the solutions.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:845107

DOI: 10.1155/2011/845107

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