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Andronov-Hopf bifurcation for quasi-linear parabolic functional differential equations with transformations of spatial variablesAndronov-Hopf bifurcation for quasi-linear parabolic functional differential equations

Iterative Method for Solving Parabolic Linear-Quadratic Optimal Control Problem with Constraints on the Time Derivative of the State system governed by parabolic equation with distributed in right-hand side control and control in Neumann

Inverse Problem for Source Function in Parabolic Equation at Neumann Boundary ConditionsThe second initial-boundary value problem for a parabolic equation is under study. The term

To the theory of entropy sub-solutions of degenerate nonlinear parabolic equations-solution to the Cauchy problem for a nonlinear degenerate parabolic equation with only continuous flux and diffusion

Sharp pointwise estimates for the gradients of solutions to linear parabolic second-order equation in the layer parabolic second-order equations with real constant coefficients in the layer ℝn+1 T=ℝn×(0,T), where n≥1

On some properties of entropy solutions of degenerate non-linear anisotropic parabolic equations nonlinear degenerate anisotropic parabolic equation. Applying this result, we establish the comparison

Penalty Methods for One-Sided Parabolic Problems with Piecewise Smooth ObstaclesAbstract: We give a relatively complete analysis of the penalty methods for one-sided parabolic

On Qualitative Properties of Sign-Constant Solutions of Some Quasilinear Parabolic ProblemsWe study the Cauchy problem for quasilinear parabolic inequalities containing squares of the first

Preconditioned Uzawa-type method for a state constrained parabolic optimal control problem with boundary control control problem of a system governed by a linear parabolic equation is constructed and investigated

On the Absence of Weak Solutions of Nonlinear Nonnegative Higher Order Parabolic Inequalities with a Nonlocal SourceThe paper proves the absence of solutions of semilinear parabolic inequalities and higher order

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