## 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