order linear
Recently Published Documents





2022 ◽  
Vol 48 (1) ◽  
pp. 1-4
W. Van Snyder

Algorithm 982: Explicit solutions of triangular systems of first-order linear initial-value ordinary differential equations with constant coefficients provides an explicit solution for an homogeneous system, and a brief description of how to compute a solution for the inhomogeneous case. The method described is not directly useful if the coefficient matrix is singular. This remark explains more completely how to compute the solution for the inhomogeneous case and for the singular coefficient matrix case.

2022 ◽  
Vol 20 (2) ◽  
pp. 291-300
Gonzalo Duchen Sanchez ◽  
Basilio Del Muro Cuellar ◽  
Juan Francisco Marquez Rubio ◽  
Martin Velasco Villa ◽  
Miguel Angel Hernandez Perez

2022 ◽  
Vol 5 (1) ◽  
pp. 1-13
Habib H. ◽  
Tahir A. ◽  
Musa S. ◽  
Yusuf K.P.

In this study, a fuzzy Laplace transform is used to solve second order linear homogeneous ordinary differential equations. The solution obtained is based on the concept of gH differentiability and the relation between the fuzzy Laplace transform and its derivative for is obtained. Examples are constructed for the existence and uniqueness of solutions of second order FODE.

2022 ◽  
Vol 32 (3) ◽  
I. Chyzhykov ◽  
J. Gröhn ◽  
J. Heittokangas ◽  
J. Rättyä

AbstractOscillation of solutions of $$f^{(k)} + a_{k-2} f^{(k-2)} + \cdots + a_1 f' +a_0 f = 0$$ f ( k ) + a k - 2 f ( k - 2 ) + ⋯ + a 1 f ′ + a 0 f = 0 is studied in domains conformally equivalent to the unit disc. The results are applied, for example, to Stolz angles, horodiscs, sectors, and strips. The method relies on a new conformal transformation of higher order linear differential equations. Information on the existence of zero-free solution bases is also obtained.

Tom Bridgeland ◽  
Davide Masoero

AbstractWe study a second-order linear differential equation known as the deformed cubic oscillator, whose isomonodromic deformations are controlled by the first Painlevé equation. We use the generalised monodromy map for this equation to give solutions to the Riemann-Hilbert problems of (Bridgeland in Invent Math 216(1):69–124, 2019) arising from the Donaldson-Thomas theory of the A$$_2$$ 2 quiver. These are the first known solutions to such problems beyond the uncoupled case. The appendix by Davide Masoero contains a WKB analysis of the asymptotics of the monodromy map.

Sign in / Sign up

Export Citation Format

Share Document