Boundary-Value Problem for a Loaded Hyperbolic-Parabolic Equation with Degeneracy of Order in the Hyperbolicity Domain
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-05048-w
Abstract: In this paper, we study a boundary-value problem for a loaded hyperbolic-parabolic equation with degeneracy of order in the domain of its hyperbolicity. The existence and uniqueness theorems for solutions of this problem are proved… read more here.
Keywords: value problem; problem; boundary value; hyperbolic parabolic ... See more keywords
Boundary Control Problem for a Loaded String Vibration Equation
Sign Up to like & getrecommendations! Published in 2020 at "Differential Equations"
DOI: 10.1134/s0012266120050080
Abstract: Abstract A boundary control problem is studied for a model loaded equation of the hyperbolic type. Necessary and sufficient conditions on the initial and terminal functions ensuring the existence of boundary controls are established. Under… read more here.
Keywords: equation; control problem; problem loaded; boundary control ... See more keywords
On Solvability of Nonlocal Problem for Loaded Parabolic-Hyperbolic Equation
Sign Up to like & getrecommendations! Published in 2018 at "Russian Mathematics"
DOI: 10.3103/s1066369x18030076
Abstract: We study unique solvability of a nonlocal problem for equations of mixed type in a finite domain. This equation contains the partial fractional Riemann–Liouville derivative. The boundary condition of the problem contains a linear combination… read more here.
Keywords: solvability nonlocal; nonlocal problem; solvability; equation ... See more keywords