|
Showing 1 - 2 of
2 matches in All Departments
The theory of partial differential equations is a wide and rapidly
developing branch of contemporary mathematics. Problems related to
partial differential equations of order higher than one are so
diverse that a general theory can hardly be built up. There are
several essentially different kinds of differential equations
called elliptic, hyperbolic, and parabolic. Regarding the
construction of solutions of Cauchy, mixed and boundary value
problems, each kind of equation exhibits entirely different
properties. Cauchy problems for hyperbolic equations and systems
with variable coefficients have been studied in classical works of
Petrovskii, Leret, Courant, Gording. Mixed problems for hyperbolic
equations were considered by Vishik, Ladyzhenskaya, and that for
general two dimensional equations were investigated by Bitsadze,
Vishik, Gol'dberg, Ladyzhenskaya, Myshkis, and others. In last
decade the theory of solvability on the whole of boundary value
problems for nonlinear differential equations has received
intensive development. Significant results for nonlinear elliptic
and parabolic equations of second order were obtained in works of
Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skripnik, and others.
Concerning the solvability in general of nonlinear hyperbolic
equations, which are connected to the theory of local and nonlocal
boundary value problems for hyperbolic equations, there are only
partial results obtained by Bronshtein, Pokhozhev, Nakhushev."
The theory of partial differential equations is a wide and rapidly
developing branch of contemporary mathematics. Problems related to
partial differential equations of order higher than one are so
diverse that a general theory can hardly be built up. There are
several essentially different kinds of differential equations
called elliptic, hyperbolic, and parabolic. Regarding the
construction of solutions of Cauchy, mixed and boundary value
problems, each kind of equation exhibits entirely different
properties. Cauchy problems for hyperbolic equations and systems
with variable coefficients have been studied in classical works of
Petrovskii, Leret, Courant, Gording. Mixed problems for hyperbolic
equations were considered by Vishik, Ladyzhenskaya, and that for
general two dimensional equations were investigated by Bitsadze,
Vishik, Gol'dberg, Ladyzhenskaya, Myshkis, and others. In last
decade the theory of solvability on the whole of boundary value
problems for nonlinear differential equations has received
intensive development. Significant results for nonlinear elliptic
and parabolic equations of second order were obtained in works of
Gvazava, Ladyzhenskaya, Nakhushev, Oleinik, Skripnik, and others.
Concerning the solvability in general of nonlinear hyperbolic
equations, which are connected to the theory of local and nonlocal
boundary value problems for hyperbolic equations, there are only
partial results obtained by Bronshtein, Pokhozhev, Nakhushev."
|
You may like...
Finding Dory
Ellen DeGeneres, Albert Brooks, …
Blu-ray disc
(1)
R42
Discovery Miles 420
Midnights
Taylor Swift
CD
R418
Discovery Miles 4 180
|