Wyniki wyszukiwania - Biblioteka Nauki

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 5

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: równania nieliniowe

Sortuj według:

Ogranicz wyniki do:

Solution of nonlinear polyparabolic problem for the three-dimensional time-spatial cylinder with boundary conditions of Riquier type

100%

Koroński J.

1998

tom Vol. 18,

33-41

In this paper we shall construct the solution to the nonlinear polyparabolic problem for the cylindrical domain with limit conditions of Riquer type. To construct the solution we shall apply the convenient heat polyparabolic potentials with unknown densities and polyparabolic thermal potential compatible with the source function. We reduce the considered problem to a system of the nonlinear integro-differential equations examined on the base of the well-known Banach's fixed point theorem.

Celem pracy jest dowód twierdzenia o istnieniu i o jednoznaczności rozwiązania nieliniowego równania poliparabolicznego Pmu(x, t) = ƒ(x, t, u(x, t), Pu(x, t), P2u(x, t),..., Pm-1(x, t)), gdzie x = (x1,x2), P = Δ- Dt,, Δ= D2/x1 + D2/x2, Pm = P(Pm-1) i 1 < m ∈ N jest ustaloną liczbą. Rozwiązanie powyższego równania jest konstruowane w obszarze D = {(x,t) : x ∈ D1,t ∈ (0,T)}, D1 = {(x,0 ): /x/ < R} i spełnia następujące warunki początkowe Piu(x,0) = ƒi(x), x ∈ D1, i = 0,1,...,m-1, m ∈ N i warunki brzegowe Piu(x, t) = hi(x, t), (x, t) ∈ S = {(x, t) : x ∈ B{D1) x (0,T)}, B(D1) = {{x,0) : /x/=R}, i = 0,1,2,...,m - 1, m ∈ N Funkcje ƒ ,ƒi, hi, i = 0,1,2,..., m-1, m ∈ N są dane. Powyższy problem początkowo-brzegowy jest zredukowany do nieliniowego układu równań różniczkowo-całkowych, który jest rozwiązany na bazie dobrze znanego twierdzenia Banacha o punkcie stałym.

Leader Glowworm Swarm Optimization Algorithm for Solving Nonlinear Equations Systems

88%

Zhou Y. , Liu J. , Zhao G.

2012

tom R. 88, nr 1b

101-106

This paper presents a leader glowworm swarm optimization algorithm (LGSO) for solving nonlinear equations systems. Since glowworm swarm optimization algorithm has bad optimized ability at high dimension, proposing glowworm swarm optimization algorithm with leader mechanism to strengthen the global optimization ability. Through various types nonlinear equations testing, experiment results show that the proposed algorithm has strong global searching capability and quickly finding the solutions of the equations, thus obviously improving the optimization global ability.

Zaprezentowano optymalizacyjny algorytm mrówkowy “świetlikowy” do rozwiązywania system równań nieliniowych. Ponieważ algorytm ten ma słabe możliwości optymalizacyjne przy dużych rozmiarach wprowadzono wspomagający mechanizm prowadzący „leader”.

On existence of solutions to nonlinear equations with degenerate mappings

75%

Prusińska A. , Tret'yakov A.

2006

tom Vol. 28

101-111

The paper presents recent advances in p-regularity theory. The main result of this theory gives a detailed description of the structure of the zero set of an irregular nonlinear mapping. We illustrate the theory with an application to the problem of existence of the solutions to the nonlinear equations with singular mappings.

Stability of iterative procedures for multivalued maps in metric spaces

63%

Singh S. , Bhatnagar C. , Mishra S.

2005

tom Vol. 38, nr 4

905-916

Let (X,d) be a metric space and T a self-map of X. Let Xn+i = f(T,Xn) denote some iterative procedure. Let {xn} be convergent to a fixed point u of T and {yn} be an arbitrary sequence in X. Set En=d[yn+i, f(T, yn)], n = 0,1,2,..., then the iterative procedure f(T,Xn) is T-stable provided that limEn = 0 implies that limnyn = u. This definition has been extended by Singh and Chadha [34] to discuss the problem of stability for multivalued operators on metric spaces. The purpose of this paper is to present a fixed point theorem for generalized multivalued contractions on a setting more general than metric spaces. The same is utilized to discuss the problem of stability of iterative procedures in multivalued analysis. Some special cases due to Stefan Czerwik and others are discussed as special cases.

Ishikawa iterative sequence with errors for k-subaccetive operators in arbitrary Banach spaces

63%

Li Y.

2006

tom Vol. 39, nr 1

161-168

In this paper, the iterative solution is studied for equation x+Tx =f with a Lipschitz K-subaccetive operator in arbitrary Banach spaces, some previously results are generalized.