Journal of Osh State University. Mathematics. Physics. Technical Sciences

Keywords: pseudoparabolic equation; nonlocal problem; fundamental solution; Goursat task; integral equation; boundary value problem

Keywords: Partial differential equation; third order equation; multiple characteristics; boundary value problem; uniqueness; existence; series; semi-bounded domain; absolute and smooth convergence

Keywords: Cauchy problem; cross-diffusion; variable density; finite velocity; absorption; local existence; global solution; blow-up property

Keywords: An isotropic space; Gallеan space; isotropic sphere; first and second fundamental form

Keywords: solutions; systems of linear integral equations; on the semi-axis; algebraic; Fredholm; of the third kind; are equivalent

Keywords: Cauchy problems; nonlinear partial differential equations; classical method of characteristics; Galerkin method; additional argument method; Volterra equations of the second kind

Keywords: Pseudodifferential operators; variational problems; variational inequalities; variational equations; correctness means

Keywords: Third-order equation; loaded equation; Gellerstedt problem; Fourier transform; regular solution; extremum principle; estimation of the solution

Keywords: Cauchy – Riemann equation; n – analytic function; Cauchy theorem; Sokhotskiy – Plemel formula; continuation formula

Keywords: linear inteqral equations; first kind; two variables; uniqueness

Keywords: inverse problem; Gerasimov-Caputo operator; equation of fractional order; Riesz basis; adjoint problem

Keywords: regularization; Volterra equation; uniform convergence; small parameter

Keywords: optimal control; optimal process; approximate solution; convergence; functional

Keywords: Tricomi equation; regular boundary conditions by time; Riemann-Liouville’s fractional derivatives; uniqueness of solution; Eigen functions; complete orthonormal systems

Keywords: differential and integral equations; solution construction method; boundary value problem; parabolic-hyperbolic type; unique solvability

Keywords: Sobolev type equations; Showalter–Sidorov problem; the Hoff equation; nonuniqueness of solutions; phase space method; the Galerkin method

Keywords: euclidean space; Frenet frame; net of Frenet; partial mapping; distribution; quasi-double line

Keywords: biharmonic models; methods of iterative extensions

Keywords: singularly perturbed inverse transport problem; transport equation; asymptotic representation; degenerate inverse problem; small parameter

Keywords: heat conduction equation; electromagnetic fields; laser heat source

Keywords: Cayley tree; Potts model; SOS model; Potts-SOS model; Gibbs measures; translation-invariant Gibbs measures

Keywords: nonlinear integral equation; regularizing operator; Fredholm type equation; Lavrentiev regularization; space of continuous functions

Keywords: mixed type equation; Dirichlet problem; uniqueness criterion; series; existence; small denominators; stability

Keywords: Bessel function; fractional differential operator; Cauchy problem; integral equation; successive approximation method

Keywords: Sine-Gordon type equations; Dirac operator; spectral data; Dubrovin's system of equations; trace formulas

Keywords: forecasting; multivariate time series; energy consumption planning; machine learning; deep learning; interval forecasting

Keywords: degenerate hyperbolic equation; equation of the second kind; Cauchy problem; Riemann method

Keywords: Integro-differential equation; nonlocal problem; degenerate kernel; solvability; regular and irregular values of parameters

Keywords: Schrödinger and subdiffusion equation; equation; the Caputo derivatives; Fourier method

Keywords: mathematical model; language; computer model; relation; independent presentation; learning

Keywords: Lie symmetries; first-order symmetries; first integrals; involutive distributions

Keywords: hyperspace; uniformity; uniform space; uniformly connected; uniformly pseudocompact; P– precompact

Keywords: Keller–Segel model; chemotaxis; a priori estimates; global solution