scholarly journals Second-Order Differential Operators with Non-Local Ventcel's Boundary Conditions

2019 ◽  
pp. 144-152
Author(s):  
Michele Campiti
Keyword(s):  
Boundary Conditions ◽  
Differential Operators ◽  
Second Order ◽  
Non Local

Nonlinear boundary conditions for nonlinear second order differential operators on C[0,1]

2001 ◽  
Vol 76 (5) ◽  
pp. 391-400 ◽  
Author(s):  
A. Favini ◽  
G. R. Goldstein ◽  
J. A. Goldstein ◽  
S. Romanelli
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Boundary ◽  
Differential Operators ◽  
Nonlinear Boundary Conditions ◽  
Second Order

scholarly journals On the boundary conditions for products of Sturm-Liouville differential operators

2001 ◽  
Vol 32 (3) ◽  
pp. 187-199
Author(s):  
Sobhy El-Sayed Ibrahim
Keyword(s):  
Boundary Conditions ◽  
Differential Operators ◽  
Second Order ◽  
Regular Case ◽  
Sesquilinear Form ◽  
Sturm Liouville

In this paper, the second-order symmetric Sturm-Liouville differential expressions $ \tau_1, \tau_2, \ldots, \tau_n $ with real coefficients are considered on the interval $ I = (a,b) $, $ - \infty \le a < b \le \infty $. It is shown that the characterization of singular self-adjoint boundary conditions involves the sesquilinear form associated with the product of Sturm-Liouville differential expressions and elements of the maximan domain of the product operators, and is an exact parallel of the regular case. This characterization is an extension of those obtained in [6], [8], [11-12], [14] and [15].

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