# Equations in differentials in the algebra of generalized stochastic processes

Nadzeya V. Bedziuk; Aleh L. Yablonski

Banach Center Publications (2010)

- Volume: 88, Issue: 1, page 31-38
- ISSN: 0137-6934

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topNadzeya V. Bedziuk, and Aleh L. Yablonski. "Equations in differentials in the algebra of generalized stochastic processes." Banach Center Publications 88.1 (2010): 31-38. <http://eudml.org/doc/281839>.

@article{NadzeyaV2010,

abstract = {We consider an ordinary or stochastic nonlinear equation with generalized coefficients as an equation in differentials in the algebra of new generalized functions in the sense of [8]. Consequently, the solution of such an equation is a new generalized function. We formulate conditions under which the solution of a given equation in the algebra of new generalized functions is associated with an ordinary function or process. Moreover the class of all possible associated functions and processes is described.},

author = {Nadzeya V. Bedziuk, Aleh L. Yablonski},

journal = {Banach Center Publications},

keywords = {Algebra of generalized functions and stochastic processes; differential equations with generalized coefficients},

language = {eng},

number = {1},

pages = {31-38},

title = {Equations in differentials in the algebra of generalized stochastic processes},

url = {http://eudml.org/doc/281839},

volume = {88},

year = {2010},

}

TY - JOUR

AU - Nadzeya V. Bedziuk

AU - Aleh L. Yablonski

TI - Equations in differentials in the algebra of generalized stochastic processes

JO - Banach Center Publications

PY - 2010

VL - 88

IS - 1

SP - 31

EP - 38

AB - We consider an ordinary or stochastic nonlinear equation with generalized coefficients as an equation in differentials in the algebra of new generalized functions in the sense of [8]. Consequently, the solution of such an equation is a new generalized function. We formulate conditions under which the solution of a given equation in the algebra of new generalized functions is associated with an ordinary function or process. Moreover the class of all possible associated functions and processes is described.

LA - eng

KW - Algebra of generalized functions and stochastic processes; differential equations with generalized coefficients

UR - http://eudml.org/doc/281839

ER -

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