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In this paper a method for solving operator differential equations of the type X' = A + BX + XD; X(0) = C0, avoiding the operator exponential function, is given. Results are applied to solve initial value problems related to Riccati type operator differential equations whose associated algebraic equation is solvable.

Solving a collection of free coexistence-like problems in stability

Gaetano Zampieri (1989)

Rendiconti del Seminario Matematico della Università di Padova

Solving a system of second order obstacle problems by a modified decomposition method.

Momani, Shaher (2006)

Applied Mathematics E-Notes [electronic only]

Solving an inverse Sturm-Liouville problem by a Lie-group method.

Liu, Chein-Shan (2008)

Boundary Value Problems [electronic only]

Solving Differential Equations by Parallel Laplace Method with Assured Accuracy

Malaschonok, Natasha (2007)

Serdica Journal of Computing

The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006We produce a parallel algorithm realizing the Laplace transform method for the symbolic solving of differential equations. In this paper we consider systems of ordinary linear differential equations with constant coefficients, nonzero initial conditions and right-hand parts reduced to sums of exponents with polynomial coefficients.

Solving dynamical systems with cubic trigonometric splines.

Nikolis, Athanassios, Seimenis, Ioannis (2005)

Applied Mathematics E-Notes [electronic only]

Solving Equations, an Elegant Legacy

Jerry L. Kazdan (2001)

The Teaching of Mathematics

Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension.

Navarro, E., Jódar, L., Company, R. (1994)

International Journal of Mathematics and Mathematical Sciences

Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method

Yu Ping Wang, Shahrbanoo Akbarpoor Kiasary, Emrah Yılmaz (2024)

Applications of Mathematics

We consider the inverse nodal problem for Sturm-Liouville (S-L) equation with frozen argument. Asymptotic behaviours of eigenfunctions, nodal parameters are represented in two cases and numerical algorithms are produced to solve the given problems. Subsequently, solution of inverse nodal problem is calculated by the second Chebyshev wavelet method (SCW), accuracy and effectiveness of the method are shown in some numerical examples.

Solving linear differential equations by quadratures: Comments on a general procedure.

Caviglia, G., Morro, A. (2000)

International Journal of Mathematics and Mathematical Sciences

Solving Linear Ordinary Differential Equations by Exponentials of Iterated Commutators.

A. Iserles (1984)

Numerische Mathematik

Solving nonlinear boundary value problems using He's polynomials and Padé approximants.

Mohyud-Din, Syed Tauseef, Yildirim, Ahmet (2009)

Mathematical Problems in Engineering

Solving of Volterra's linear integral equations

K. Orlov, M. Stojanović (1974)

Matematički Vesnik

Solving ratio-dependent predator-prey system with constant effort harvesting using homotopy perturbation method.

Ghotbi, Abdoul R., Barari, A., Ganji, D.D. (2008)

Mathematical Problems in Engineering

Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions

Chein-Shan Liu, Botong Li (2019)

Applications of Mathematics

For a second-order singularly perturbed ordinary differential equation (ODE) under the Robin type boundary conditions, we develop an energetic Robin boundary functions method (ERBFM) to find the solution, which automatically satisfies the Robin boundary conditions. For the non-singular ODE the Robin boundary functions consist of polynomials, while the normalized exponential trial functions are used for the singularly perturbed ODE. The ERBFM is also designed to preserve the energy, which can quickly...

Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface.

Goldberg, Maxim J., Kim, Seonja (2002)

International Journal of Mathematics and Mathematical Sciences

Solving two-point boundary value problems for the non monic regular matrix differential equation $A X^{(2)} (t) - B X (t) = F (t)$

Navarro, E., Jódar, L. (1991)

Portugaliae mathematica

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