Solving the boundary value problem of the first-order measure differential equations. (English) Zbl 07928598
Summary: This article is to develop a method to solve the boundary value problems of the first-order measure differential equations in the space of bound-ed variation functions. Firstly, we obtain the solution and Green’s function by applying the integration by parts. Secondly, the criterion for the existence of solution is given by using fixed point theorem and regularization theory. Finally, an example is provided to validate these conclusions.
MSC:
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 34B27 | Green’s functions for ordinary differential equations |
| 34A06 | Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) |
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