Contents

Differential Equations


Vol. 60, No. 7, 2024


ORDINARY DIFFERENTIAL EQUATIONS

Distribution of the Spectrum of a Sturm–Liouville Operator Perturbed by a Delta Interaction

A. S. Pechentsov p. 807  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Classical Solutions of Hyperbolic Differential-Difference Equations

N. V. Zaitseva p. 817  abstract


NUMERICAL METHODS

Splitting Schemes for Evolution Equations with a Factorized Operator

P. N. Vabishchevich p. 868  abstract

Order-Optimal Direct Method for Solving Singular Integro-Differential Equations

N. S. Gabbasov p. 877  abstract

The Problem of a Liner Tape Falling onto an Inclined Support

M. P. Galanin, and A. S. Rodin p. 888  abstract

Geometric Conservation Law for Finite Volume Discretization of the Stefan Problem on Boundary-Fitted Grids

A. O. Gusev, and O. S. Mazhorova p. 900  abstract

Approximate Solution of the Inverse Boundary Value Problem for a Singularly Perturbed System of Partial Differential Equations

A. M. Denisov, and S. I. Solov’eva p. 916  abstract

A Difference Scheme with Well-Controlled Dissipation for Solving the Kapila Model Equations

R. R. Polekhina, and E. B. Savenkov p. 925  abstract

Methods for Parametric Identification of Fractional Differential Equations

Yu. V. Slastushenskiy, D. L. Reviznikov, and S. A. Semenov p. 941  abstract

Computation of the Leading Eigenvalue and the Corresponding Eigenelement of Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter

P. S. Solov’ev, and S. I. Solov’ev p. 953  abstract

A Model for Describing Turbulent Flows

B. N. Chetverushkin, A. E. Lutsky, and E. V. Shilnikov p. 976  abstract


SHORT COMMUNICATIONS

A Finite-Difference Scheme for Discontinuous Solutions of the Usadel Equations

M. M. Khapaev, and M. Yu. Kupriyanov p. 985  abstract