PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 11

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  warunki nielokalne
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available Karakostas fixed point theorem and semilinear neutral differential equations with impulses and nonlocal conditions
Leiva Hugo, Riera Lenin, Lalvay Sebastián
Journal of Mathematics and Applications
|
2022
|
Vol. 45
107--128
EN
This paper is concerned with the existence and uniqueness of solutions for a semilinear neutral differential equation with impulses and nonlocal conditions. First, we assume that the nonlinear terms are locally Lipschitz, and to achieve the existence of solutions, Karakostas Fixed Point Theorem is applied. After that, under some additional conditions, the uniqueness is proved as well. Next, assuming some bound on the non-linear terms the global existence is proved by applying a generalization of Gronwall inequality for impulsive differential equations. Then, we suppose stronger hypotheses on the nonlinear functions, such as globally Lipschitz conditions, that allow us to appy Banach Fixed Point Theorem to prove the existence and uniqueness of solutions. Finally, we present an example as an application of our method.
2
Content available Conditional stability estimate for an ill-posed elliptic equation by using nonlocal conditions
Benrabah Abderafik
Journal of Applied Mathematics and Computational Mechanics
|
2022
|
Vol. 21, nr 3
5--17
EN
We consider an ill-posed linear homogeneous fourth-order elliptic equation. We show that the problem is ill-posed in the sense of Hadamard, i.e., the solution does not depend continuously on the given data. We propose a regularization method via nonlocal conditions and under some a priori bound assumptions different estimates for the regularized solution are obtained. Numerical examples for a rectangle domain show the effectiveness of the new method in providing highly accurate numerical solutions as the noise level tends to zero.
3
Content available remote On a first-order differential system with initial and nonlocal boundary conditions
Ngoc Le Thi Phuong, Long Nguyen Thanh
Demonstratio Mathematica
|
2022
|
Vol. 55, nr 1
277--296
EN
This paper is devoted to the existence of solutions and the multiplicity of positive solutions of an initial-boundary value problem for a nonlinear first-order differential system with nonlocal conditions. The main tool is the fixed-point theorem in which we construct the novel representation of the associated Green’s functions with useful properties and define a cone in the Banach space suitably. Some examples are also given to demonstrate the validity of the main results.
4
Content available remote On perturbed quadratic integral equations and initial value problem with nonlocal conditions in Orlicz spaces
Metwali Mohamed M. A.
Demonstratio Mathematica
|
2020
|
Vol. 53, nr 1
86--94
EN
The existence of a.e. monotonic solutions for functional quadratic Hammerstein integral equations with the perturbation term is discussed in Orlicz spaces. We utilize the strategy of measure of noncompactness related to the Darbo fixed point principle. As an application, we discuss the presence of solution of the initial value problem with nonlocal conditions.
5
Content available remote Continuous dependence of mild solutions on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second order
Bednarz A., Byszewski L.
Technical Transactions
|
2018
|
Vol. 115, iss. 5
141--148
EN
The aim of the paper is to prove two theorems on the continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear functional-differential evolution Cauchy problems of the first and second orders. The paper is based on publications [1–10] and is a generalization of paper [5].
PL
W artykule udowodniono dwa twierdzenia o ciągłej zależności rozwiązań całkowych od nielokalnych warunków początkowych, semiliniowych funkcjonalno-różniczkowych zagadnień ewolucyjnych Cauchy’ego pierwszego i drugiego rzędu. Artykuł bazuje na publikacjach [1–10] i jest uogólnieniem publikacji [5].
6
Content available remote Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy problems
Byszewski L.
Technical Transactions
|
2017
|
Vol. 9(114)
151--158
EN
The aim of the paper is to prove two theorems on continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal semilinear evolution Cauchy problems. For this purpose, the method of semigroups and the theory of cosine family in Banach spaces are applied. The paper is based on publications [1–6] and is a generalization of paper [3].
PL
W artykule udowodniono dwa twierdzenia o ciągłej zależności rozwiązań całkowych od nielokalnych warunków początkowych, semiliniowych nielokalnych zagadnień Cauchy’ego. W tym celu zastosowano metodę półgrup i teorię rodziny cosinus w przestrzeniach Banacha. Artykuł bazuje na publikacjach [1–6] i jest pewnym uogólnieniem publikacji [3].
7
Content available remote Second order evolution equations with nonlocal conditions
Benchohra M., Nieto J. J., Rezoug N.
Demonstratio Mathematica
|
2017
|
Vol. 50, nr 1
309--319
EN
In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces. Our approach is based on the concepts of Hausdorff measure, noncompactness and Tikhonoff’s fixed point theorem. We give an example for illustration.
8
On nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces
Kendre S. D., Kharat V. V.
Journal of Applied Analysis
|
2014
|
Vol. 20, nr 2
167--175
EN
In the present paper we investigate the existence and uniqueness of solutions of nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces. The technique used in our analysis is based on fixed point theorems and Pachpatte's integral inequality.
9
Content available remote On nonlocal evolution problem for the equation of the first order
Byszewski L., Winiarska T.
Czasopismo Techniczne. Nauki Podstawowe
|
2013
|
R. 110, z. 1-NP
19--26
EN
The aim of the paper is to prove theorems about the existence and uniqueness of mild and classical solutions of a nonlocal semilinear functional-differential evolution Cauchy problem. The method of semigroups, the Banach fixed-point theorem and theorems (see [2]) about the existence and uniqueness of the classical solutions of the first-order differential evolution problems in a not necessarily reflexive Banach space are used to prove the existence and uniqueness of the solutions of the problems considered. The results obtained are based on publications [1–6].
PL
W artykule udowodniono twierdzenia o istnieniu i jednoznaczności rozwiązań całkowych i klasycznych nielokalnego semiliniowego funkcjonalno-różniczkowego ewolucyjnego zagadnienia Cauchy’ego. W tym celu zastosowano metodę półgrup, twierdzenie Banacha o punkcie stałym i twierdzenia ([2]) o istnieniu i jednoznaczności klasycznych rozwiązań ewolucyjnych zagadnień różniczkowych pierwszego rzędu w niekoniecznie refleksywnej przestrzeni Banacha. Artykuł bazuje na publikacjach [1‒6].
10
Content available remote On abstract nonlocal Cauchy problem
Bednarz A., Byszewski L.
Czasopismo Techniczne. Nauki Podstawowe
|
2013
|
R. 110, z. 1-NP
11--17
EN
In this paper, we investigate the existence and uniqueness of the classical solution to an abstract nonlocal Cauchy problem. For this purpose, we apply a notion of mild solution and the Banach contraction theorem.
PL
W artykule zbadano istnienie i jednoznaczność klasycznego rozwiązania abstrakcyjnego nielokalnego zagadnienia Cauchy’ego. W tym celu zastosowano rozwiązanie całkowe i twierdzenie Banacha o kontrakcji.
11
Content available remote Continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal evolution Cauchy problems
Byszewski L., Winiarska T.
Czasopismo Techniczne. Nauki Podstawowe
|
2013
|
R. 110, z. 1-NP
27--32
EN
The aim of the paper is to prove two theorems on continuous dependence of mild solutions, on initial nonlocal data, of the nonlocal Cauchy problems. For this purpose, the method of semigroups and the theory of cosine family in Banach spaces are applied. The paper is based on publications [1–5].
PL
W artykule udowodniono dwa twierdzenia o ciągłej zależności rozwiązań całkowych od nielokalnych warunków początkowych, nielokalnych zagadnień Cauchy’ego. W tym celu zastosowano metodę półgrup i teorię rodziny cosinus w przestrzeniach Banacha. Artykuł bazuje na publikacjach [1‒5].
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.