On one class of solvable boundary value problems for ordinary differential equation of $n$-th order

Nguyen Anh Tuan

Displaying similar documents to “On one class of solvable boundary value problems for ordinary differential equation of $n$ -th order”

On an effective criterion of solvability of boundary value problems for ordinary differential equation of $n$ -th order

Anh Tuan Nguyen (2005)

Archivum Mathematicum

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New sufficient conditions for the existence of a solution of the boundary value problem for an ordinary differential equation of $n$ -th order with certain functional boundary conditions are constructed by a method of a priori estimates.

Positivity of Green's matrix of nonlocal boundary value problems

Alexander Domoshnitsky (2014)

Mathematica Bohemica

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We propose an approach for studying positivity of Green’s operators of a nonlocal boundary value problem for the system of $n$ linear functional differential equations with the boundary conditions $n_{i} x_{i} - \sum_{j = 1}^{n} m_{i j} x_{j} = β_{i}$ , $i = 1, \dots, n$ , where $n_{i}$ and $m_{i j}$ are linear bounded “local” and “nonlocal“ functionals, respectively, from the space of absolutely continuous functions. For instance, $n_{i} x_{i} = x_{i} (ω)$ or $n_{i} x_{i} = x_{i} (0) - x_{i} (ω)$ and $m_{i j} x_{j} = \int_{0}^{ω} k (s) x_{j} (s) d s + \sum_{r = 1}^{n_{i j}} c_{i j r} x_{j} (t_{i j r})$ can be considered. It is demonstrated that the positivity of Green’s operator of nonlocal problem follows from the positivity...

Existence and uniqueness of solutions for higher-order three-point boundary value problems.

Pei, Minghe, Chang, Sung Kag (2009)

Boundary Value Problems [electronic only]

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Displaying similar documents to “On one class of solvable boundary value problems for ordinary differential equation of n -th order”

On an effective criterion of solvability of boundary value problems for ordinary differential equation of n -th order

Positivity of Green's matrix of nonlocal boundary value problems

Existence and uniqueness of solutions for higher-order three-point boundary value problems.

Displaying similar documents to “On one class of solvable boundary value problems for ordinary differential equation of $n$ -th order”

On an effective criterion of solvability of boundary value problems for ordinary differential equation of $n$ -th order