Uniqueness of the solution of the boundary-value problem with an integral condition for a differential equation in a strip

1984 ◽  
Vol 36 (6) ◽  
pp. 598-602
Author(s):  
V. G. Palyutkin
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Integral Condition ◽  
Uniqueness Of The Solution

scholarly journals On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation

Mathematics ◽  
2021 ◽  
Vol 9 (21) ◽  
pp. 2800
Author(s):  
Ahmed El-Sayed ◽  
Eman Hamdallah ◽  
Hanaa Ebead
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Integral Condition ◽  
Stieltjes Integral ◽  
Nonlocal Boundary Value Problem ◽  
Absolutely Continuous ◽  
State Dependent ◽  
Infinite Point

In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral condition will also be considered. Some examples will be provided to illustrate our results.

scholarly journals Inner boundary value problem with an integral condition for fractional diffusion equation

2021 ◽  
pp. 24-29
Author(s):  
Ф.М. Лосанова
Keyword(s):  
Diffusion Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Integral Condition ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Integral Conditions ◽  
Interior Boundary ◽  
Uniqueness Of The Solution ◽  
Fractional Differentiation Operator

В данной работе рассматривается нелокальная внутреннекраевая задача для уравнения дробной диффузии с оператором дробного дифференцирования в смысле Римана-Лиувилля с интегральными условиями. Исследуемая задача эквиваленто сведена к системе двух интегральных уравнений Вольтерра второго рода. Доказана теорема существования и единственности решения поставленной задачи. In this paper, we consider a nonlocal interior boundary value problem for the fractional diffusion equation with a fractional differentiation operator in the sense of Riemann-Liouville with integral conditions. The problem under study is equivalently reduced to a system of two Volterra integral equations of the second kind. The theorem of existence and uniqueness of the solution of the posed problem is proved.

scholarly journals On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition

Mathematics ◽  
2021 ◽  
Vol 9 (21) ◽  
pp. 2667
Author(s):  
Ahmed M. A. El-Sayed ◽  
Wagdy G. El-Sayed ◽  
Somyya S. Amrajaa
Keyword(s):  
Boundary Value Problem ◽  
Differential Inclusion ◽  
Nonlocal Condition ◽  
Boundary Value ◽  
Integral Condition ◽  
Hybrid Functional ◽  
Functional Differential Inclusion ◽  
Uniqueness Of The Solution ◽  
Nonlocal Integral Condition ◽  
Functional Differential

In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness of the solution is given. The continuous dependence of the unique solution will be studied.

Sign in / Sign up

Export Citation Format

Share Document