scholarly journals Sufficient conditions for the existence of nonnegative solutions of a nonlocal boundary value problem

2002 ◽  
Vol 15 (4) ◽  
pp. 401-407 ◽  
Author(s):  
G.L. Karakostas ◽  
P.Ch. Tsamatos
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Sufficient Conditions ◽  
Nonlocal Boundary Value Problem ◽  
Nonnegative Solutions

scholarly journals On implicit impulsive Langevin equation involving mixed order derivatives

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Akbar Zada ◽  
Rizwan Rizwan ◽  
Jiafa Xu ◽  
Zhengqing Fu
Keyword(s):  
Boundary Value Problem ◽  
Langevin Equation ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Sufficient Conditions ◽  
Nonlocal Boundary Value Problem ◽  
Qualitative Properties ◽  
Mixed Order

AbstractIn this paper, we consider a nonlocal boundary value problem of nonlinear implicit impulsive Langevin equation involving mixed order derivatives. Sufficient conditions are constructed to discuss the qualitative properties like existence and Ulam’s stability of the proposed problem. The main result is verified by an example.

On Nonnegative Solutions of a Certain Nonlocal Boundary Value Problem for Second Order Linear Functional Differential Equations

2004 ◽  
Vol 11 (3) ◽  
pp. 583-602
Author(s):  
P. Vodstrčil
Keyword(s):  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Linear Functional ◽  
Nonnegative Solution ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Value Problem ◽  
Nonnegative Solutions ◽  
Functional Differential

Abstract On the interval [𝑎, 𝑏], we consider the boundary value problem where ℓ : 𝐶([𝑎, 𝑏]; ℝ) → 𝐿([𝑎, 𝑏]; ℝ), 𝑞 ∈ 𝐿([𝑎, 𝑏]; ℝ), and 𝑡0 ∈]𝑎, 𝑏[. The question on the existence and uniqueness of a nonnegative solution of this problem is studied.

scholarly journals On second order nonlocal boundary value problem at resonance

2016 ◽  
Vol 56 (1) ◽  
pp. 143-153 ◽  
Author(s):  
Katarzyna Szymańska-Dębowska
Keyword(s):  
Boundary Value Problem ◽  
Bounded Variation ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Second Order ◽  
Function Of Bounded Variation ◽  
Nonlocal Boundary Value Problem ◽  
At Resonance ◽  
Problem At Resonance

Abstract This work is devoted to the existence of solutions for a system of nonlocal resonant boundary value problem $$\matrix{{x'' = f(t,x),} \hfill & {x'(0) = 0,} \hfill & {x'(1) = {\int_0^1 {x(s)dg(s)},} }} $$ where f : [0, 1] × ℝk → ℝk is continuous and g : [0, 1] → ℝk is a function of bounded variation.

scholarly journals A note on the nonlocal boundary value problem for a third order partial differential equation

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 801-808 ◽  
Author(s):  
Kh. Belakroum ◽  
A. Ashyralyev ◽  
A. Guezane-Lakoud
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Stability Estimates ◽  
Order Partial Differential Equation ◽  
Nonlocal Boundary Value Problem ◽  
Third Order ◽  
Partial Differential

The nonlocal boundary-value problem for a third order partial differential equation in a Hilbert space with a self-adjoint positive definite operator is considered. Applying operator approach, the theorem on stability for solution of this nonlocal boundary value problem is established. In applications, the stability estimates for the solution of three nonlocal boundary value problems for third order partial differential equations are obtained.

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