Date of Award
12-2019
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematical Sciences
First Advisor
Tariel Kiguradze
Second Advisor
Jian Du
Third Advisor
Pavithra Pathirathna
Fourth Advisor
Munevver Subasi
Abstract
Nonlocal boundary value problems in a characteristic rectangle for second order linear hyperbolic systems are considered. There are established: (i) Unimprovable sufficient conditions for general boundary value problems to possess the Fredholm property; (ii) Optimal sufficient conditions of unique solvability of general boundary value problems; (iii) Effective sufficient conditions for doubly periodic problems to possess the Fredholm property; (iv) Unimprovable sufficient conditions of unique solvability of doubly periodic problems; (v) Effective sufficient conditions for boundary value problems of periodic type to possess the Fredholm property; (vi) Unimprovable sufficient conditions of unique solvability of boundary value problems of periodic type; (vii) Necessary and sufficient conditions of unique solvability of periodic and periodic type problems for linear hyperbolic systems with constant coefficients.
Recommended Citation
Almutairi, Afrah, "Nonlocal Boundary Value Problems for Linear Hyperbolic Systems with Two Independent Variables" (2019). Theses and Dissertations. 945.
https://repository.fit.edu/etd/945