Results 21 to 30 of about 45,852 (266)
On the Conditioning of Multipoint and Integral Boundary Value Problems [PDF]
SIAM Journal on Mathematical Analysis, 1989 Linear multipoint boundary value problems are investigated from the point of view of the condition number and properties of the fundamental solution. It is found that when the condition number is not large, the solution space is polychotomic. On the other hand, if the solution space is polychotomic then there exist boundary conditions such that the ...
Hoog, de, F.R., Mattheij, R.M.M.
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Advances in Difference Equations, 2018 In this paper, we discuss a nonlinear fractional order boundary value problem with nonlocal Erdélyi–Kober and generalized Riemann–Liouville type integral boundary conditions. By using Mawhin continuation theorem, we investigate the existence of solutions
Qiao Sun, Shuman Meng, Yujun Cui
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Integrable boundary conditions and modified Lax equations [PDF]
Nuclear Physics B, 2008 We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding transfer matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable ...
Avan, Jean, Doikou, Anastasia
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper studies a nonlinear fractional differential equation of an arbitrary order with four-point nonlocal integral boundary conditions. Some existence results are obtained by applying standard fixed point theorems and Leray-Schauder degree theory ...
Bashir Ahmad, Sotiris Ntouyas
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On the uniqueness of linear convection–diffusion equations with integral boundary conditions
Comptes Rendus. Mathématique, 2023 We investigate a class of convection–diffusion equations in an expanding domain involving a parameter, where we consider integral boundary conditions that depend non-locally on unknown solutions.
Lee, Chiun-Chang +2 more
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Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions
Mathematical Modelling and Analysis, 2015 In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions ...
Ilkay Yaslan Karaca, Fatma Tokmak Fen
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Fractional Langevin Equations with Nonlocal Integral Boundary Conditions
Mathematics, 2019 In this paper, we investigate a class of nonlinear Langevin equations involving two fractional orders with nonlocal integral and three-point boundary conditions.
Ahmed Salem +2 more
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Parametrization for non-linear problems with integral boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider the integral boundary-value problem for a certain class of non-linear system of ordinary differential equations of the form \begin{equation*} \frac{dx\left(t\right)}{dt} =f\left(t,x\left(t\right)\right), t\in \left[0,T\right],\: x\in \mathbb ...
Miklós Rontó, Kateryna Marynets
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Nonlinear differential equations with perturbed Dirichlet integral boundary conditions
Boundary Value Problems, 2021 This paper is devoted to prove the existence of positive solutions of a second order differential equation with a nonhomogeneous Dirichlet conditions given by a parameter dependence integral.
Alberto Cabada, Javier Iglesias
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Nonlocal boundary value problems with BV-type data
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we present some existence and uniqueness results for solutions of second order boundary value problems, which are functions of bounded variation along with their derivatives.
Jürgen Appell +2 more
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