The Method of Upper and Lower Solutions to Impulsive Differential Equation with Sturm–Liouville Integral Boundary Conditions

2018 ◽  
Author(s):  
Huihui Pang ◽  
Yuke Zhu ◽  
Mengyan Cui
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Impulsive Differential Equation ◽  
Upper And Lower Solutions ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Sturm Liouville

scholarly journals On strong singular fractional version of the Sturm–Liouville equation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mehdi Shabibi ◽  
Akbar Zada ◽  
Hashem Parvaneh Masiha ◽  
Shahram Rezapour
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Liouville Equation ◽  
Existence Of Solutions ◽  
Integral Boundary Conditions ◽  
Initial Condition ◽  
Integral Boundary ◽  
Sturm Liouville

AbstractThe Sturm–Liouville equation is among the significant differential equations having many applications, and a lot of researchers have studied it. Up to now, different versions of this equation have been reviewed, but one of its most attractive versions is its strong singular version. In this work, we investigate the existence of solutions for the strong singular version of the fractional Sturm–Liouville differential equation with multi-points integral boundary conditions. Also, the continuity depending on coefficients of the initial condition of the equation is examined. An example is proposed to demonstrate our main result.

Sign in / Sign up

Export Citation Format

Share Document