On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition

Abstract

In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness of the solution is given. The continuous dependence of the unique solution will be studied.

Keywords

• hybrid differential inclusion
• boundary value problem
• nonlocal condition
• integral condition
• infinite point boundary condition
• existence of solutions