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Boundary value problems for a differential equation on a measure chain. (English) Zbl 0973.39010

Existence and uniqueness theorems for the solution of the boundary value problem \[ x^{\Delta\sigma}=f(t,x^\sigma(t));\quad x(a)=A,\quad x(\sigma^2(b))=B \] are proved, where \(f\) satisfies a one sided Lipschitz condition.

MSC:

39A12 Discrete version of topics in analysis
34B15 Nonlinear boundary value problems for ordinary differential equations
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