scholarly journals On Differential Properties Rν-Generalized Solution of the Dirichlet Problem with Coordinated Degeneration of the Input Data

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Victor Anatolievich Rukavishnikov
Keyword(s):  
Differential Equation ◽  
Dirichlet Problem ◽  
Boundary Value Problem ◽  
Input Data ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Generalized Solution ◽  
Strong Singularity ◽  
Second Order Differential Equation ◽  
Differential Properties

We consider the first boundary value problem for second-order differential equation with strong singularity caused by coordinated degeneration of the input data. For this problem, we study the differential properties of the Rν-generalized solution, that is, the fact that it belongs to the space H2,ν+β/2k+2(Ω).

One method for the boundary value problem eigenvalues calcuating for a second-order differential equation with a fractional derivative

2019 ◽  
Vol 10 (01) ◽  
pp. 1941004
Author(s):  
Temirkhan Aleroev ◽  
Hedi Aleroeva ◽  
Lyudmila Kirianova
Keyword(s):  
Differential Equation ◽  
Perturbation Theory ◽  
Dirichlet Problem ◽  
Boundary Value Problem ◽  
Fractional Derivative ◽  
Fractional Derivatives ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Second Order ◽  
Linear Operators

In this paper, we give a formula for computing the eigenvalues of the Dirichlet problem for a differential equation of second-order with fractional derivatives in the lower terms. We obtained this formula using the perturbation theory for linear operators. Using this formula we can write out the system of eigenvalues for the problem under consideration.

Numerical methods for solving the first-kind boundary value problem for a linear second-order differential equation with a deviating argument

2017 ◽  
Vol 23 (2) ◽  
Author(s):  
Muhad H. Abregov ◽  
Vladimir Z. Kanchukoev ◽  
Maryana A. Shardanova
Keyword(s):  
Differential Equation ◽  
Numerical Methods ◽  
Finite Difference ◽  
Boundary Value Problem ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Second Order ◽  
Deviating Argument ◽  
Second Order Differential Equation

AbstractThis work is devoted to the numerical methods for solving the first-kind boundary value problem for a linear second-order differential equation with a deviating argument in minor terms. The sufficient conditions of the one-valued solvability are established, and the a priori estimate of the solution is obtained. For the numerical solution, the problem studied is reduced to the equivalent boundary value problem for an ordinary linear differential equation of fourth order, for which the finite-difference scheme of second-order approximation was built. The convergence of this scheme to the exact solution is shown under certain conditions of the solvability of the initial problem. To solve the finite-difference problem, the method of five-point marching of schemes is used.

scholarly journals MULTIPLICITY RESULTS FOR THE NEUMANN BOUNDARY VALUE PROBLEM

2007 ◽  
Vol 12 (2) ◽  
pp. 179-186 ◽  
Author(s):  
Svetlana Atslega
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Second Order ◽  
Multiplicity Results ◽  
Neumann Boundary Value Problem ◽  
Second Order Differential Equation

We provide multiplicity results for the Neumann boundary value problem, when the second order differential equation is of the form x” = f(x).

ON A SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR A SECOND-ORDER DIFFERENTIAL EQUATION

2021 ◽  
Vol 1 (1) ◽  
pp. 33-41
Author(s):  
Keldibay Alymkulov ◽  
Kudaiberdi Gaparalievich Kozhobekov ◽  
Bektur Abdyrahmanovich Azimov ◽  
Nasipa Zulpukarovna Sultanova
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Second Order ◽  
Singularly Perturbed ◽  
Second Order Differential Equation

scholarly journals Sehgal Type Contractions on Dislocated Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 153 ◽  
Author(s):  
Badr Alqahtani ◽  
Andreea Fulga ◽  
Erdal Karapınar ◽  
and Kumari
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Metric Space ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Second Order Differential Equation ◽  
Dislocated Metric Space ◽  
Contractive Type ◽  
The Given ◽  
Dislocated Metric

In this paper, we investigate the contractive type inequalities for the iteration of the mapping at a given point in the setting of dislocated metric space. We consider an example to illustrate the validity of the given result. Further, as an application, we propose a solution for a boundary value problem of the second order differential equation.

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