A Method of Generalized Characteristics

Β·
· American Mathematical Society: Memoirs of the American Mathematical Society Книга 266 · American Mathematical Soc.
Π•-ΠΊΠ½ΠΈΠ³Π°
37
Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†ΠΈ
ΠžΡ†Π΅Π½ΠΈΡ‚Π΅ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈΡ‚Π΅ Π½Π΅ сС ΠΏΠΎΡ‚Π²Ρ€Π΄Π΅Π½ΠΈ Β Π”ΠΎΠ·Π½Π°Ρ˜Ρ‚Π΅ повСќС

Π—Π° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

The classical and Brownian methods of characteristics are generalized to analyze evolution equations of arbitrary order. Calculi of higher orders, analogous to first order classical calculus and second order Ito calculus, are constructed. Solutions of differential equations in the calculi become characteristic propagators of higher order partial differential equations. The solutions of these partial differential equations are then represented as averages of random samples of initial data based on these characteristic flows, in a general sense.

ΠžΡ†Π΅Π½Π΅Ρ‚Π΅ ја Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

ΠšΠ°ΠΆΠ΅Ρ‚Π΅ Π½ΠΈ ΡˆΡ‚ΠΎ мислитС.

Π˜Π½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΈ Π·Π° Ρ‡ΠΈΡ‚Π°ΡšΠ΅

ΠŸΠ°ΠΌΠ΅Ρ‚Π½ΠΈ Ρ‚Π΅Π»Π΅Ρ„ΠΎΠ½ΠΈ ΠΈ Ρ‚Π°Π±Π»Π΅Ρ‚ΠΈ
Π˜Π½ΡΡ‚Π°Π»ΠΈΡ€Π°Ρ˜Ρ‚Π΅ ја Π°ΠΏΠ»ΠΈΠΊΠ°Ρ†ΠΈΡ˜Π°Ρ‚Π° Google Play Books Π·Π° Android ΠΈ iPad/iPhone. Автоматски сС синхронизира со смСтката ΠΈ Π²ΠΈ ΠΎΠ²ΠΎΠ·ΠΌΠΎΠΆΡƒΠ²Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ онлајн ΠΈΠ»ΠΈ ΠΎΡ„Π»Π°Ρ˜Π½ ΠΊΠ°Π΄Π΅ ΠΈ Π΄Π° стС.
Π›Π°ΠΏΡ‚ΠΎΠΏΠΈ ΠΈ ΠΊΠΎΠΌΠΏΡ˜ΡƒΡ‚Π΅Ρ€ΠΈ
МоТС Π΄Π° ΡΠ»ΡƒΡˆΠ°Ρ‚Π΅ Π°ΡƒΠ΄ΠΈΠΎΠΊΠ½ΠΈΠ³ΠΈ ΠΊΡƒΠΏΠ΅Π½ΠΈ ΠΎΠ΄ Google Play со ΠΊΠΎΡ€ΠΈΡΡ‚Π΅ΡšΠ΅ Π½Π° Π²Π΅Π±-прСлистувачот Π½Π° ΠΊΠΎΠΌΠΏΡ˜ΡƒΡ‚Π΅Ρ€ΠΎΡ‚.
Π•-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ ΠΈ Π΄Ρ€ΡƒΠ³ΠΈ ΡƒΡ€Π΅Π΄ΠΈ
Π—Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΈ со Π΅-мастило, ΠΊΠ°ΠΊΠΎ ΡˆΡ‚ΠΎ сС Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈΡ‚Π΅ Kobo, ќС Ρ‚Ρ€Π΅Π±Π° Π΄Π° ΠΏΡ€Π΅Π·Π΅ΠΌΠ΅Ρ‚Π΅ Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠ° ΠΈ Π΄Π° ја ΠΏΡ€Π΅Ρ„Ρ€Π»ΠΈΡ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΎΡ‚. Π‘Π»Π΅Π΄Π΅Ρ‚Π΅ Π³ΠΈ Π΄Π΅Ρ‚Π°Π»Π½ΠΈΡ‚Π΅ упатства Π²ΠΎ Π¦Π΅Π½Ρ‚Π°Ρ€ΠΎΡ‚ Π·Π° помош Π·Π° ΠΏΡ€Π΅Ρ„Ρ€Π»Π°ΡšΠ΅ Π½Π° Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠΈΡ‚Π΅ Π½Π° ΠΏΠΎΠ΄Π΄Ρ€ΠΆΠ°Π½ΠΈ Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ.