Sectoriality conditions and solvability of differential boundary operators of sturm-liouville type with multipoint-integral boundary conditions

1999 ◽  
Vol 96 (2) ◽  
pp. 2961-2965
Author(s):  
O. Ya. Mil'o ◽  
O. G. Storozh
Keyword(s):  
Boundary Conditions ◽  
Integral Boundary Conditions ◽  
Liouville Type ◽  
Integral Boundary ◽  
Boundary Operators ◽  
Sturm Liouville

scholarly journals Existence Results for a Riemann-Liouville-Type Fractional Multivalued Problem with Integral Boundary Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Hamed H. Alsulami ◽  
Sotiris K. Ntouyas ◽  
Bashir Ahmad
Keyword(s):  
Boundary Conditions ◽  
Existence Of Solutions ◽  
Fixed Point Theory ◽  
Integral Boundary Conditions ◽  
Point Theory ◽  
Multivalued Maps ◽  
Liouville Type ◽  
Integral Boundary ◽  
Fractional Differential ◽  
The Right

We discuss the existence of solutions for a boundary value problem of Riemann-Liouville fractional differential inclusions of orderα∈(2,3]with integral boundary conditions. We establish our results by applying the standard tools of fixed point theory for multivalued maps when the right-hand side of the inclusion has convex as well as nonconvex values. An illustrative example is also presented.

scholarly journals A second order differential equation with generalized Sturm-Liouville integral boundary conditions at resonance

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1437-1444 ◽  
Author(s):  
Zengji Du ◽  
Jian Yin
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Nonlinear Differential Equations ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Integral Boundary Conditions ◽  
Second Order ◽  
Integral Boundary ◽  
At Resonance ◽  
Sturm Liouville

By using Mawhin coincidence degree theory, we investigate the existence of solutions for a class of second order nonlinear differential equations with generalized Sturm-Liouville integral boundary conditions at resonance. The results extend some known conclusions of integral boundary value problem at resonance for nonlinear differential equations

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