Temat: boundary point - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions
Autorzy:: Gao, Wenjie
Wang, Junyu
Powiązania:: https://bibliotekanauki.pl/articles/1311418.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: two-point boundary value problems
upper and lower solutions
Nagumo condition
existence
Carathéodory functions
Opis:: The periodic boundary value problem u''(t) = f(t,u(t),u'(t)) with u(0) = u(2π) and u'(0) = u'(2π) is studied using the generalized method of upper and lower solutions, where f is a Carathéodory function satisfying a Nagumo condition. The existence of solutions is obtained under suitable conditions on f. The results improve and generalize the work of M.-X. Wang et al. [5].
Źródło:: Annales Polonici Mathematici; 1995, 62, 3; 283-291
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Multiple positive solutions to singular boundary value problems for superlinear second order FDEs
Autorzy:: Jiang, Daqing
Powiązania:: https://bibliotekanauki.pl/articles/1207893.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: superlinear
fixed point theorem
singular boundary value problem
existence
Opis:: We study the existence of positive solutions to the singular boundary value problem for a second-order FDE

⎧ u'' + q(t) f(t,u(w(t))) = 0, for almost all 0 < t < 1,
⎨ u(t) = ξ(t), a ≤ t ≤ 0,
⎩ u(t) = η(t), 1 ≤ t ≤ b,

where q(t) may be singular at t = 0 and t = 1, f(t,u) may be superlinear at u = ∞ and singular at u = 0.
Źródło:: Annales Polonici Mathematici; 2000, 75, 3; 257-270
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Commutators of diffeomorphisms of a manifold with boundary
Autorzy:: Rybicki, Tomasz
Powiązania:: https://bibliotekanauki.pl/articles/1294405.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Group of diffeomorphisms
simplicity
perfectness
manifold with boundary
fixed point theory
Opis:: A well known theorem of Herman-Thurston states that the identity component of the group of diffeomorphisms of a boundaryless manifold is perfect and simple. We generalize this result to manifolds with boundary. Remarks on $C^r$-diffeomorphisms are included.
Źródło:: Annales Polonici Mathematici; 1998, 68, 3; 199-210
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Multiple positive solutions of a nonlinear fourth order periodic boundary value problem
Autorzy:: Kong, Lingbin
Jiang, Daqing
Powiązania:: https://bibliotekanauki.pl/articles/1294291.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: nonlinear periodic boundary value problem
multiple positive solutions
cone
fixed point index
Opis:: The fourth order periodic boundary value problem $u^{(4)} - m⁴u + F(t,u) = 0$, 0 < t < 2π, with $u^{(i)}(0) = u^{(i)}(2π)$, i = 0,1,2,3, is studied by using the fixed point index of mappings in cones, where F is a nonnegative continuous function and 0 < m < 1. Under suitable conditions on F, it is proved that the problem has at least two positive solutions if m ∈ (0,M), where M is the smallest positive root of the equation tan mπ = -tanh mπ, which takes the value 0.7528094 with an error of $±10^{-7}$.
Źródło:: Annales Polonici Mathematici; 1998, 69, 3; 265-270
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: The coincidence index for fundamentally contractible multivalued maps with nonconvex values
Autorzy:: Gabor, Dorota
Powiązania:: https://bibliotekanauki.pl/articles/1207916.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: condensing map
Fredholm operator
boundary value problem in Banach spaces
fixed point index
coincidence points
Opis:: We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given.
Źródło:: Annales Polonici Mathematici; 2000, 75, 2; 143-166
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions
Autorzy:: Carl, S.
Heikkilä, S.
Powiązania:: https://bibliotekanauki.pl/articles/1294161.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: discontinuous implicit differential equations
discontinuous implicit boundary conditions
ordered Banach spaces
fixed point principles in partially ordered sets
Opis:: We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.
Źródło:: Annales Polonici Mathematici; 1999, 71, 1; 1-17
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 7.

Tytuł:: On positive solutions of a class of second order nonlinear differential equations on the halfline
Autorzy:: Staněk, Svatoslav
Powiązania:: https://bibliotekanauki.pl/articles/1311424.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: nonlinear second order differential equation
nonnegative solution
existence and uniqueness of solutions
bounded solution
dependence of solutions on the parameter
boundary value problem on a noncompact interval
Tikhonov-Schauder fixed point theorem
Opis:: The differential equation of the form $(q(t)k(u)(u')^a)' = f(t)h(u)u'$, a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u'(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Źródło:: Annales Polonici Mathematici; 1995, 62, 2; 123-142
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja