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On the solvability of initial and boundary value problems for abstract functional-differential Euler-Poisson-Darboux equations problems for a functional-differential equation generalizing the Euler-Poisson-Darboux equation

Sharp constants in one-dimensional Poincaré-type inequalitiesEuler equation

The Euler-Maclaurin Formula in the Problem of Summation over Lattice Points of a SimplexIn the problem of summation over lattice points of a simplex we find an analog of the Euler

Estimating the Domain of Absolute Stability of a Numerical Scheme Based on the Method of Solution Continuation with Respect to a Parameter for Solving Stiff Initial Value Problems problems. In most cases, their exact solution is difficult to find, while numerical schemes sometimes fail

Optimization of the spacecraft flight between orbits by solving LambertTo optimize the flight of a spacecraft between orbits, a series of Lambert's problems is solved

Special functions as solutions to the Euler-Poisson-Darboux equation with a fractional power of the Bessel operatorIn this paper, we consider fractional ordinary differential equations and the fractional Euler

Solving the Euler-Poisson-Darboux equation of fractional orderWe consider the Cauchy problem for the one-dimensional, homogeneous Euler-Poisson-Darboux equation

Numerical solution of the linear inverse problem for the Euler-Darboux equationAn inverse problem of the reconstruction of the right-hand side of the Euler-Darboux equation

Uniqueness criterion for solutions of nonlocal problems on a finite interval for abstract singular equationsFor abstract singular equations, nonlocal problems belonging to the class of ill-posed problems

On a problem of Karatsuba function. In addition, we apply these estimates to the Karatsuba problem of finding a lower bound

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