Solvability of the lyapunov equation for nonselfadjoint second-order differential operators with nonlocal boundary conditions

1998 ◽  
Vol 39 (5) ◽  
pp. 1026-1042 ◽  
Author(s):  
Ar. S. Tersenov
Keyword(s):  
Boundary Conditions ◽  
Differential Operators ◽  
Nonlocal Boundary ◽  
Lyapunov Equation ◽  
Nonlocal Boundary Conditions ◽  
Second Order

scholarly journals The Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral

Mathematics ◽  
2019 ◽  
Vol 7 (6) ◽  
pp. 533 ◽  
Author(s):  
Bashir Ahmad ◽  
Madeaha Alghanmi ◽  
Ahmed Alsaedi ◽  
Hari M. Srivastava ◽  
Sotiris K. Ntouyas
Keyword(s):  
Boundary Conditions ◽  
Langevin Equation ◽  
Differential Operators ◽  
Nonlocal Boundary ◽  
Sufficient Conditions ◽  
Nonlocal Boundary Conditions ◽  
Generalized Fractional Integral ◽  
Fractional Differential ◽  
Nonlinear Langevin Equation ◽  
Fractional Differential Operators

In this paper, we establish sufficient conditions for the existence of solutions for a nonlinear Langevin equation based on Liouville-Caputo-type generalized fractional differential operators of different orders, supplemented with nonlocal boundary conditions involving a generalized integral operator. The modern techniques of functional analysis are employed to obtain the desired results. The paper concludes with illustrative examples.

Sign in / Sign up

Export Citation Format

Share Document