The Bitsadze Problem for a Multidimensional Hyperbolic Equation
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DOI: 10.1007/s10958-019-04180-6
Abstract: We prove the unique solvability of the Bitsadze problem for multidimensional hyperbolic equation. read more here.
Keywords: multidimensional hyperbolic; hyperbolic equation; problem multidimensional; bitsadze problem ... See more keywords
Computation of complex fields of perturbed $$(2+1)$$-dimensional Schrödinger’s hyperbolic equation
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DOI: 10.1007/s11082-021-02992-y
Abstract: In the paper, we are recovering optical solutions of the $$ (2 + 1)$$ -dimensional Schrodinger’s hyperbolic equation with nonlinearities of a higher order. It outlines the distribution of short-range pulses in optical fibers with… read more here.
Keywords: complex fields; fields perturbed; optical solutions; hyperbolic equation ... See more keywords
System of Integral Equations for Solving an Inverse Problem for a Quasilinear Hyperbolic Equation
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DOI: 10.1134/s0012266119090039
Abstract: For a quasilinear hyperbolic equation containing a numerical parameter, we consider the inverse problem of determining an unknown function occurring in the free term of the equation. The inverse problem is reduced to a system… read more here.
Keywords: equation; inverse problem; system; hyperbolic equation ... See more keywords
On a Frankl-type problem for a mixed parabolic-hyperbolic equation
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DOI: 10.1134/s0037446617020057
Abstract: We state a new nonlocal boundary value problem for a mixed parabolic-hyperbolic equation. The equation is of the first kind, i.e., the curve on which the equation changes type is not a characteristic. The nonlocal… read more here.
Keywords: problem mixed; mixed parabolic; hyperbolic equation; equation ... See more keywords