Coercive solvability of a boundary value problem for a complete degenerate second order differential equation in Hilbert space

1980 ◽  
pp. 175-185
Author(s):  
V. P. Gluško ◽  
O. M. Smeljanskiĭ
Keyword(s):  
Differential Equation ◽  
Hilbert Space ◽  
Boundary Value Problem ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Second Order ◽  
Second Order Differential Equation ◽  
Coercive Solvability

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
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