Special solutions of linear difference equations with infinite delay

Milan Medveď

Displaying similar documents to “Special solutions of linear difference equations with infinite delay”

A note on k-c-semistratifiable spaces and strong $β$ -spaces

Li-Xia Wang, Liang-Xue Peng (2011)

Mathematica Bohemica

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Recall that a space $X$ is a c-semistratifiable (CSS) space, if the compact sets of $X$ are $G_{δ}$ -sets in a uniform way. In this note, we introduce another class of spaces, denoting it by k-c-semistratifiable (k-CSS), which generalizes the concept of c-semistratifiable. We discuss some properties of k-c-semistratifiable spaces. We prove that a $T_{2}$ -space $X$ is a k-c-semistratifiable space if and only if $X$ has a $g$ function which satisfies the following conditions: (1) For each $x \in X$ , ${x} = ⋂ {g (x, n) : n \in ℕ}$ and $g (x, n + 1) \subseteq g (x, n)$ for each...

Necessary and sufficient conditions for oscillations of delay partial difference equations

Bing Gen Zhang, Shu Tang Liu (1995)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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This paper is concerned with the delay partial difference equation (1) $A_{m + 1, n} + A_{m, n + 1} - A_{m, n} + Σ_{i = 1}^{u} p_{i} A_{m - k_{i}, n - l_{i}} = 0$ where $p_{i}$ are real numbers, $k_{i}$ and $l_{i}$ are nonnegative integers, u is a positive integer. Sufficient and necessary conditions for all solutions of (1) to be oscillatory are obtained.

Boundedness of Third-order Delay Differential Equations in which $h$ is not necessarily Differentiable

Mathew O. Omeike (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper we study the boundedness of solutions of some third-order delay differential equation in which $h (x)$ is not necessarily differentiable but satisfy a Routh–Hurwitz condition in a closed interval $[δ, k a b] \subset (0, a b)$ .

On the Cauchy problem in linear viscoelasticity

Pasquale Renno (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Con riferimento all’operatore integrodifferenziale della viscoelasticità lineare nella formulazione creep, si determina la soluzione fondamentale $E$ in corrispondenza di un’arbitraria funzione di memoria. Di conseguenza viene risolto esplicitamente il problema di Cauchy relativo al moto unidimensionale di un sistema viscoelastico $\mathcal{B}$ , omogeneo ed isotropo, determinato da dati iniziali e storia di stress comunque prefissati. Successivamente, nell’ambito di opportune ipotesi di memoria labile,...

Bond ionization energies: thiophosphoryl compounds

Marco V. Andreocci, Carla Cauletti, Claudio Furlani (1977)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Negli spettri fotoelettronici (p.e.) indotti da radiazione ultra-violetta di serie omologhe di composti, si trovano bande in ben definite regioni di energia, che possono essere assegnate empiricamente a ionizzazione di legami specifici o di coppie solitarie di elettroni. L’effetto dell'intorno chimico sulle energie di ionizzazione si esplica in piccoli spostamenti, che hanno una dipendenza approssimativamente lineare dall'ettronegatività di atomi o gruppi vicini. La discussione riguarda...

Explicit form for the discrete logarithm over the field $GF (p, k)$

Gerasimos C. Meletiou (1993)

Archivum Mathematicum

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For $a$ generator of the multiplicative group of the field $G F (p, k)$ , the discrete logarithm of an element $b$ of the field to the base $a$ , $b \neq 0$ is that integer $z : 1 \leq z \leq p^{k} - 1$ , $b = a^{z}$ . The $p$ -ary digits which represent $z$ can be described with extremely simple polynomial forms.

Periodic boundary value problem of a fourth order differential inclusion

Marko Švec (1997)

Archivum Mathematicum

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The paper deals with the periodic boundary value problem (1) $L_{4} x (t) + a (t) x (t) \in F (t, x (t))$ , $t \in J = [a, b]$ , (2) $L_{i} x (a) = L_{i} x (b)$ , $i = 0, 1, 2, 3$ , where $L_{0} x (t) = a_{0} x (t)$ , $L_{i} x (t) = a_{i} (t) L_{i - 1} x (t)$ , $i = 1, 2, 3, 4$ , $a_{0} (t) = a_{4} (t) = 1$ , $a_{i} (t)$ , $i = 1, 2, 3$ and $a (t)$ are continuous on $J$ , $a (t) \geq 0$ , $a_{i} (t) > 0$ , $i = 1, 2$ , $a_{1} (t) = a_{3} (t) \cdot F (t, x) : J \times R \to$ {nonempty convex compact subsets of $R$ }, $R = (- \infty, \infty)$ . The existence of such periodic solution is proven via Ky Fan’s fixed point theorem.

Displaying similar documents to “Special solutions of linear difference equations with infinite delay”

A note on k-c-semistratifiable spaces and strong β -spaces

Necessary and sufficient conditions for oscillations of delay partial difference equations

Boundedness of Third-order Delay Differential Equations in which h is not necessarily Differentiable

On the Cauchy problem in linear viscoelasticity

Bond ionization energies: thiophosphoryl compounds

Explicit form for the discrete logarithm over the field GF ( p , k )

Periodic boundary value problem of a fourth order differential inclusion

A note on k-c-semistratifiable spaces and strong $β$ -spaces

Boundedness of Third-order Delay Differential Equations in which $h$ is not necessarily Differentiable

Explicit form for the discrete logarithm over the field $GF (p, k)$