scientific article

zbMath0674.65044MaRDI QIDQ3993124

V. A. Danilov, A. A. Loginov, Yu. E. Boyarintsev, Viktor Filimonovich Chistyakov

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

linear systemsnonlinear systemsdifferential-algebraic equationsconstant coefficientssingular systemsvariable coefficientsdifference methodsmonographysystems of Volterra integral equationsalgorithms SINODE and SINUS

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Nonlinear ordinary differential equations and systems (34A34) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Construction of an asymptotic solution of one optimal control problem ⋮ On Noetherian index of differential/algebraic systems. I ⋮ Existence of an invariant torus for a degenerate linear extension of dynamical systems ⋮ Study and solution of degenerate systems of ordinary differential equations by means of a change of variables ⋮ Construction of asymptotic formulas for solutions of singularly perturbed degenerate systems of differential equations ⋮ Solution of linear degenerate systems of differential equations ⋮ Properties of degenerate systems of linear integro-differential equations and initial value problems for these equations ⋮ Bifurcation of solutions of singular Fredholm boundary value problems ⋮ Construction of periodic solutions of a nonlinear singularly perturbed system of differential equations with degeneration ⋮ A parametrization method for the numerical solution of singular differential equations ⋮ The parameterization method in optimal control problems and differential-algebraic equations

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