الفهرس | Only 14 pages are availabe for public view |
Abstract This thesis concerning with the existence of solution and some of it is properties for three problem of differential inclusion with nonlocal conditions is important for applications generally. Problem 1 A Nonlocal (Two-point with Parameters) Boundary Value Problem of Differential Inclusion Here, we are concerning with the nonlinear differential inclusion 𝑑𝑥(𝑡) 𝑑(𝑡) ∈𝐹1(𝑡,𝑥(𝑡),𝐼𝛾 𝑓2 (𝑡,𝑥(𝑡))),𝛾∈(0,1),𝑡 ∈(0,1) (1) With the nonlocal two-point boundary condition 𝛼𝑥(𝜏)+𝛽𝑥(𝜂)=𝑥0 ,𝜂∈[0,1),𝛾∈(0,1],𝛼,𝛽>0. (2) We study the existence of solutions 𝑥 ∈ 𝐶[0,1] of (1)-(2). The maximal and minimal solutions and the continuous dependence of the unique solution will be study. The anti-periodic problem of (1)-(2) will be considered. (See Appendix A) |