On solvability of boundary value problems for hyperbolic fourth-order equations with nonlocal boundary conditions of integral type

2017 ◽  
Author(s):  
Nikolay S. Popov
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Integral Type ◽  
Fourth Order Equations

scholarly journals Positivity of a differential operator with nonlocal conditions

Filomat ◽  
2016 ◽  
Vol 30 (3) ◽  
pp. 885-904
Author(s):  
Allaberen Ashyralyev ◽  
Nese Nalbant
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Parabolic Equations ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Nonlocal Conditions ◽  
Nonlocal Boundary Conditions ◽  
Nonlocal Boundary Value Problems ◽  
Fractional Spaces

In the present paper, the positivity of the differential operator with nonlocal boundary conditions is established. The structure of fractional spaces is investigated. In applications, we will obtain new coercive inequalities for the solution of local and nonlocal boundary value problems for parabolic equations.

Existence of Solutions for Fourth Order Nonlocal Boundary Value Problems

2006 ◽  
Vol 13 (3) ◽  
pp. 473-484
Author(s):  
Johnny Henderson ◽  
Ding Ma
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Existence Of Solutions ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Existence Results ◽  
Order Ordinary Differential Equation

Abstract Uniqueness implies existence results are obtained for solutions of the fourth order ordinary differential equation, 𝑦(4) = 𝑓(𝑥, 𝑦, 𝑦′, 𝑦″, 𝑦‴), satisfying 5-point, 4-point and 3-point nonlocal boundary conditions.

scholarly journals A Survey on Existence Results for Boundary Value Problems of Hilfer Fractional Differential Equations and Inclusions

Foundations ◽  
2021 ◽  
Vol 1 (1) ◽  
pp. 63-98 ◽  
Author(s):  
Sotiris K. Ntouyas
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Existence Results ◽  
Fractional Differential ◽  
Differential Equations And Inclusions

This paper is a survey of the recent results of the author for various classes of boundary value problems for Hilfer fractional differential equations and inclusions of fractional order in (1,2] supplemented with different kinds of nonlocal boundary conditions.

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