We will call the canonical basis for these boundary value problems the basic solutions Y ( 1 ) and Y ( 2 ).
These operators are used to study the boundary value problems for these systems.
The unbounded boundary value problems defining these phenomena are redefined over bounded domains using appropriate radiation operators over finite artificial boundaries.
Theory and numerical methods of solutions of the nonlocal boundary value problems for these partial differential equations were investigated by many researchers (see, e.g., [1 13] and the references therein).
This allows us to obtain various results about existence and uniqueness of solutions of boundary value problems for these equations without the standard assumption about smallness of the norms of the operators and.
In this work, we will introduce a new class of domains on level-n Sierpinski gasket and prove the exact form of the solution to the boundary value problems on these domains.
Authors: Agarwal, R.P., Berezansky, L., Braverman, E., Domoshnitsky, A. This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations.
Existence of the smallest and greatest solutions of the second order initial and boundary value problems, and dependence of these solutions on the data are studied in Sections 5 and 6.
Therefore, if we suppose that g ( x ) ∈ C λ + 1 and φ k ( x ) ∈ C λ + m + 1 − k , k = 1, 2, …, m, then all the considered boundary value problems have solutions and these solutions are unique (see, for example, [2]).
However, there exist some difficulties and complexities to address the structure of the Green function for these boundary value problems.
