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103 362 (0,155s)

Výsledek výzkumu

Nielsen number and differential equations

In reply to the problem of J. Leray, it discussed the applicability of the Nielsen theory to differential equations. A survey of obtained results (mostly due to the author) is presented, including some new results....

BA - Obecná matematika

  • 2005
  • Jx
Výsledek výzkumu

Leray’s Problem for the Nonstationary Micropolar Fluid Flow

Motivated by the pipe network problems, in this paper, we consider the Leray’s problem for the nonstationary flow of a micropolar fluid. We prove that in an unbounded domain with cylindrical outlets to infinity, there exist...

Applied mathematics

  • 2020
  • Jimp
  • Odkaz
Výsledek výzkumu

Application of the Leray-Schauder Nonlinear Alternative

Initial value problem for integro-differential equations are investigated...

BA - Obecná matematika

  • 2005
  • D
Výsledek výzkumu

A nontrivial example of application of the Nielsen fixed-point theory to differential systems: problem of Jean Leray

In reply to the Leray problem, a nontrivial example of an application of the Nielsen theory to differential equations is constructed. Existence of at least there and "generically" infinitely many periodic solutions of a certain plan...

BA - Obecná matematika

  • 2000
  • Jx
Výsledek výzkumu

The existence of positive solutions to a non-local singular boundary value problem

We present conditions guaranteeing the existence of smooth and positive solutions of nonlocal singular boundary value problems. The existence results are based on regularization and sequential techniques and on a nonlinear alternative of

BA - Obecná matematika

  • 2006
  • Jx
Výsledek výzkumu

Linearized stationary incompressible flow around rotating and translating bodies- Leray solution

We consider Leray solutions of the Oseen system with rotational terms, in an exterior domain. Such solutions are characterized by square-integrability of the gradient of the velocity and local square-integrability of the pressure. In a previ...

BA - Obecná matematika

  • 2014
  • Jx
  • Odkaz
Výsledek výzkumu

A nonlocal singular boundary value problem for second-order differential equations

It is discussed a nonlocal boundary value problem for singular second order differential equations with phi-Laplacian and the Carathéodory right-hand side. Existence results are proved by a regularization technique and use Leray-Sch...

BA - Obecná matematika

  • 2004
  • Jx
Výsledek výzkumu

Limit properties of positive solutions of fractional boundary value problems

In the paper the sequence of fractional boundary value problems is investigated It is proved by the Leray-Schauder degree theory that each problem has a positive solution u_n and that there exists its subsequence converging...

BA - Obecná matematika

  • 2012
  • Jx
  • Odkaz
Výsledek výzkumu

Nonlocal boundary value problems for fractional differential equations

The paper presents the existence principle which can be used for a large class of nonlocal fractional boundary value problems. The pro ofs are based on the Leray-Schauder degree theory. Applications of the existence princip...

BA - Obecná matematika

  • 2011
  • Jx
  • Odkaz
Výsledek výzkumu

Linearized stationary incompressible flow around rotating and translating bodies - Leray solutions

We consider Leray solutions of the Oseen system with rotational terms, in an exterior domain. Such solutions are characterized by square-integrability of the gradient of the velocity and local square-integrability of the pressure. In a previ...

BA - Obecná matematika

  • 2014
  • Jx
  • Odkaz
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