Time: 9h00, Tuesday, October 3, 2017
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: In this paper, we combine two aspects, fuzzy calculus mathematics in the sense of gH-differentiability and hyperbolic partial differential equations with state-dependent delays, to introduce fuzzy partial hyperbolic functional differential equations. In detail, we consider the boundary valued problems for fuzzy partial hyperbolic differential equations with local boundary condition on finite and infinite domains. In the finite domain, a new weighted metric is used and suitable weighted number is chosen in order to prove that the existence and uniqueness of fuzzy solutions only depend on the Lipschitz property of the right side of the equations. By adding some exponential bounded conditions to the right side of the equations and the initial functions, we also indicate the existence and uniqueness of fuzzy solutions on the infinite domain. Some examples are presented to illustrate