scholarly journals Regular boundary value problems for ordinary differential-operator equations of higher order in UMD Banach spaces

2011 ◽  
Vol 4 (3) ◽  
pp. 595-614 ◽  
Author(s):  
Angelo Favini ◽  
◽  
Yakov Yakubov ◽  
Keyword(s):  
Differential Operator ◽  
Boundary Value Problems ◽  
Banach Spaces ◽  
Boundary Value ◽  
Higher Order ◽  
Ordinary Differential Operator ◽  
Regular Boundary ◽  
Operator Equations

scholarly journals Nonlinear Sum Operator Equations with a Parameter and Application to Second-Order Three-Point BVPs

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Wen-Xia Wang ◽  
Xi-Lan Liu ◽  
Piao-Piao Shi
Keyword(s):  
Nonlinear Analysis ◽  
Boundary Value Problems ◽  
Banach Spaces ◽  
Positive Solutions ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Critical Value ◽  
Second Order ◽  
Point Boundary ◽  
Operator Equations

A class of nonlinear sum operator equations with a parameter on order Banach spaces were considered. The existence and uniqueness of positive solutions for this kind of operator equations and the dependence of solutions on the parameter have been obtained by using the properties of cone and nonlinear analysis methods. The critical value of the parameter was estimated. Further, the application to some nonlinear three-point boundary value problems was given to show the significance of the discussion.

scholarly journals New Modified Adomin Decomp osition Metho d for Boundary Value Problems of Higher-order Ordinary Differential Equation

2020 ◽  
pp. 20-37
Author(s):  
Zainab Ali Ab du Al-Rabahi ◽  
Yahya Qaid Hasan
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Differential Operator ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Inverse Operator ◽  
Higher Order ◽  
Third Order ◽  
Order Ordinary Differential Equation ◽  
Solving Equations

This study will present a new modified differential operator for solving third-order boundary value problems into higher-order ordinary differential equation. We found the differential operator for new three inverse operator which can be applied for solving equations at more than one type in different conditions. We put a detailed plan for five non-linear examples from a high-order, we get dynamic and quickly to the exact solution.

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