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1
Content available remote

Multiple positive solutions to singular boundary value problems for superlinear second order FDEs

100%
Jiang D.
Annales Polonici Mathematici
|
2000
|
tom 75
|
nr 3
257-270
EN
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.
2
Content available remote

Upper and lower solutions satisfying the inverse inequality

100%
Rachůnková I.
Annales Polonici Mathematici
|
1996-1997
|
tom 65
|
nr 3
235-244
EN
We consider multipoint and two-point BVPs for second order ordinary differential equations with a Carathéodory right hand side. We prove the existence of solutions provided there exist upper and lower solutions of the BVP and the upper solution is less than the lower one.
3
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A necessary and sufficient condition for the existence of a father wavelet

100%
Gripenberg G.
Studia Mathematica
|
1995
|
tom 114
|
nr 3
207-226
EN
It is proved that if ${2^{-m/2} ψ(2^{-m} • - k)}_{m,k ∈ ℤ}$ is an orthonormal basis in $L^2(ℝ;ℂ)$, then the mother wavelet ψ is obtained from a multiresolution generated by a father wavelet if and only if $∑_{p=1}^{∞| ∑_{k ∈ ℤ} |ψ̂(2^{p}(• + k))|^2 > 0$ a.e.
4
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Existence results for asymptotic linear Hammerstain integral equations via Morse Theory

100%
O’Regan D.
Commentationes Mathematicae
|
2009
|
tom 49
|
nr 1
EN
In this paper we establish some results for asymptotic linear Hammerstein integral equations. Using Morse theory and in particular critical groups we prove a number of existence results.
5
Content available remote

Weak and strong topologies and integral equations in Banach spaces

100%
O'Regan D.
Annales Polonici Mathematici
|
1995
|
tom 61
|
nr 3
245-260
EN
The Schauder-Tikhonov theorem in locally convex topological spaces and an extension of Krasnosel'skiĭ's fixed point theorem due to Nashed and Wong are used to establish existence of $L^α$ and C solutions to Volterra and Hammerstein integral equations in Banach spaces.
6
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Une fonction β-lipschitzienne qui n'est pas une perturbation compacted'une fonction dissipative

100%
Uhl R.
Annales Polonici Mathematici
|
1995
|
tom 61
|
nr 2
189-193
FR
Résumé. On présente une fonction continue f: c₀ → c₀ qui satisfait à une condition lipschitzienne par rapport à la mesure de non-compacité de Hausdorff (ou Kuratowski), mais telle que f n'est pas la somme d'une fonction dissipative et d'une fonction compacte. Cet exemple attache de l'importance au théorème d'existence de Sabina Schmidt (1989) pour des équations différentielles dans les espaces de Banach.
7
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On the existence of nonnegative radial solutions for p-Laplacian elliptic systems

100%
Jiang D., Liu H.
Annales Polonici Mathematici
|
1999
|
tom 71
|
nr 1
19-29
EN
The existence of nonnegative radial solutions for some systems of m (m ≥ 1) quasilinear elliptic equations is proved by a simple application of a fixed point theorem in cones.
8
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A realization problem for positive continuoustime systems with reduced numbers of delays

88%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2006
|
tom 16
|
nr 3
325-331
EN
A realization problem for positive, continuous-time linear systems with reduced numbers of delays in state and in control is formulated and solved. Sufficient conditions for the existence of positive realizations with reduced numbers of delays of a given proper transfer function are established. A procedure for the computation of positive realizations with reduced numbers of delays is presented and illustrated by an example.
9
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A study of second order differential inclusions with four-point integral boundary conditions

88%
Ahmad B., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2011
|
tom 31
|
nr 2
137-156
EN
In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of second order differential inclusions involving convex and non-convex multivalued maps. The existence results are obtained by applying the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
10
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Boundary value problems for differential inclusions with fractional order

88%
Benchohra M., Hamani S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2008
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tom 28
|
nr 1
147-164
EN
In this paper, we shall establish sufficient conditions for the existence of solutions for a boundary value problem for fractional differential inclusions. Both cases of convex valued and nonconvex valued right hand sides are considered.
11
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Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions

88%
Ahmad B., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2012
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tom 32
|
nr 1
45-62
EN
This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.
12
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Content available

Existence of solutions for second order stochastic differential inclusions in Hilbert spaces

88%
Balasubramaniam P., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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2007
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tom 27
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nr 2
365-384
EN
In this paper, sufficient conditions are given for the existence of solutions for a class of second order stochastic differential inclusions in Hilbert space with the help of Leray-Schauder Nonlinear Alternative.
13
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Content available

Existence of positive solutions for a fractional boundary value problem with lower-order fractional derivative dependence on the half-line

88%
Boucenna A., Moussaoui T.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2014
|
tom 34
|
nr 2
169-189
EN
The aim of this paper is to study the existence of solutions to a boundary value problem associated to a nonlinear fractional differential equation where the nonlinear term depends on a fractional derivative of lower order posed on the half-line. An appropriate compactness criterion and suitable Banach spaces are used and so a fixed point theorem is applied to obtain fixed points which are solutions of our problem.
14
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Content available

An existence theorem for fractional hybrid differential inclusions of Hadamard type

88%
Ahmad B., Ntouyas S.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2014
|
tom 34
|
nr 2
207-218
EN
This paper studies the existence of solutions for fractional hybrid differential inclusions of Hadamard type by using a fixed point theorem due to Dhage. The main result is illustrated with the aid of an example.
15
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Existence and determination of the set of Metzler matrices for given stable polynomials

88%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2012
|
tom 22
|
nr 2
389-399
EN
The problem of the existence and determination of the set of Metzler matrices for given stable polynomials is formulated and solved. Necessary and sufficient conditions are established for the existence of the set of Metzler matrices for given stable polynomials. A procedure for finding the set of Metzler matrices for given stable polynomials is proposed and illustrated with numerical examples.
16
Content available remote

Local existence of solutions of the mixed problem for the system of equations of ideal relativistic hydrodynamics

88%
Rencławowicz J., Zajączkowski W. M.
Applicationes Mathematicae
|
1998-1999
|
tom 25
|
nr 2
221-252
EN
Existence and uniqueness of local solutions for the initial-boundary value problem for the equations of an ideal relativistic fluid are proved. Both barotropic and nonbarotropic motions are considered. Existence for the linearized problem is shown by transforming the equations to a symmetric system and showing the existence of weak solutions; next, the appropriate regularity is obtained by applying Friedrich's mollifiers technique. Finally, existence for the nonlinear problem is proved by the method of successive approximations.
17
Content available remote

Realization problem for positive multivariable discretetime linear systems with delays in the state vector and inputs

88%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2006
|
tom 16
|
nr 2
169-174
EN
The realization problem for positive multivariable discrete-time systems with delays in the state and inputs is formulated and solved. Conditions for its solvability and the existence of a minimal positive realization are established. A procedure for the computation of a positive realization of a proper rational matrix is presented and illustrated with examples.
18
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Content available

Impulsive differential equations with initial data difference

88%
Skóra L.
Commentationes Mathematicae
|
2011
|
tom 51
|
nr 1
EN
In this paper, we present some results on impulsive differential inequalities and equations with initial and impulsive data difference.
19
Content available remote

Realization problem for a class of positive continuous-time systems with delays

88%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2005
|
tom 15
|
nr 4
447-453
EN
The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.
20
Content available remote

On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions

88%
Gao W., Wang J.
Annales Polonici Mathematici
|
1995
|
tom 62
|
nr 3
283-291
EN
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].
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