Abstract:
4-nomial generalized Riemann boundary value problems
a(t)+(t)+b(t)+(t)=c(t)-(t)+d(t)-(t)+f(t),tL,
is investigated in the class of piecewise analytic functions.The boundary L is a simple closed Lyapunov curve in complex plane C. There are many publications devoted to the problem above,for example,in the Noether theory,stability,and solvability theory,but it is still difficult to find the solution of problem.When a(t)=b(t)0,c(t)b(t) are satisfied,we discuss its Noether theory,stability,and solvability theory,then the closed form of the solution of problem above can be established.