Yazar "Anadolu Üniversitesi, Fen Fakültesi, Matematik Bölümü" için Fen Fakültesi listeleme
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On some geometric conditions for minimality of DCH-functions via DC-duality approach
Küçük, Mahide; Tozkan, Didem; Küçük, Yalçın (Springer, 2017)In this study, some optimality conditions for DCH-functions are given in terms of -faces using DC-duality approach. We introduce some geometric characterizations for the solution set of DCH-minimization problems by means ... -
On Stability of Parametrized Families of Polynomials and Matrices
Akyar, Handan; Büyükköroğlu, Taner; Dzhafarov, Vakif (Hindawi Publishing Corporation, 2010)The Schur and Hurwitz stability problems for a parametric polynomial family as well as the Schur stability problem for a compact set of real matrix family are considered. It is established that the Schur stability of a ... -
On Strongly Precontinuous Functions
Zorlutuna, I.; Noiri, T.; Kücük, M. (Springer, 2008)In this paper, we give some characterizations of strongly precontinuous functions. Also we investigate some special properties of these function. -
On surface wave fields arising in soil-structure interaction problems
Ege, Nihal; Erbaş, Barış; Chorozoglou, Andreas; Kaplunov, Julius; Prikazchikov, DAnıla A. (Elsevier Science BV, 2017)The paper aims at generalization of the specialized formulation, originally developed for the surface wave fields induced by prescribed surface stresses. We extend this formulation to soil-structure interaction problems ... -
On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads
Ege, Nihal; Erbaş, Barış; Prikazchikov, DAnıla A. (Wiley-V C H Verlag GMBH, 2015)This study is concerned with analysis of the Rayleigh wave field in a 3D isotropic elastic half-space subject to in-plane surface loading. The approach relies on the slow time perturbation of the general representation for ... -
On the approximation of the set of trajectories of control system described by a Volterra integral equation
Hüseyin, Anar (Inst Mathematics & Informatics, 2014)In this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space L-p, ... -
On the Causality of the Rayleigh Wave
Erbaş, Barış; Şahin, Onur (Mathematical Science Publ, 2016)An explicit hyperbolic-elliptic formulation for surface Rayleigh waves is analysed with an emphasis on the causality of obtained results. As an example, a 3D moving load problem for a distributed vertical load is considered. ... -
On the Compactness of the Attainable Sets of Control Systems With P-Integrable Controls
Akyar, Emrah (University Miskolc Inst Math, 2008)Quasi-linear systems governed by p-integrable controls, for 1 < p < infinity with the constraint parallel to u parallel to(p) <= mu(0) are studied. It is proved that the attainable sets of the system at the instant of time ... -
On the construction of differential inclusion with prescribed integral funnel
Guseinov, Khalik G.; Özer, O.; Düzce, Serkan Ali (2003)The inverse problem of the differential inclusion theory (DI) was discussed. The various properties of integral funnels and reachable sets of the DI were studied. The obtained results can be applied in mathematics modeling ... -
On the continuity properties of the attainable sets of control systems with integral constraints on control
Guseinov, Khalik G.; Özer, Orhan; Akyar, Emrah (Pergamon-Elsevier Science LTD, 2004)In the paper the attainable sets of the control systems with integral constraints on control are studied. It is assumed that the system is nonlinear with respect to the phase state vector and linear with respect to the ... -
On the continuity properties of the attainable sets of nonlinear control systems with integral constraint on controls
Guseinov, Khalik G.; Nazlıpinar, Ali S. (Hindawi LTD, 2008)The attainable sets of the nonlinear control systems with integral constraint on the control functions are considered. It is assumed that the behavior of control system is described by a differential equation which is ... -
On the continuity property of L-P balls and an application
Guseinov, Khalik G.; Nazlıpinar, A. S. (Academic Press Inc Elsevier Science, 2007)In this paper continuity properties of the set-valued map p -> B-p(mu(0)), p is an element of (1, +infinity), are considered where B-p (mu(0)) is the closed ball of the space L-p ([t(0), theta]; R-m) centered at the origin ... -
On the directional differentiability properties of the marginal function
Guseinov, Khalik G.; Küçük, Y; Ekici, E (Pergamon-Elsevier Science LTD, 2002)In this paper, by using the directional lower and upper derivative of a set-valued map, the directional lower and upper derivatives of marginal function are investigated. Sufficient condition, ensuring the existence of the ... -
On the Existence of Fagnano Trajectories in Convex Polygonal Billiards
Deniz, A.; Ratiu, A. V. (Maik Nauka/Interperiodica/Springer, 2009)We prove that an n-gon F is pedal strong Fagnano trajectory in some convex polygonal billiard table A if and only if it is a convex Poncelet n-gon. -
On the fractal dimension of the monotone decreasing null-sequences with monotone decreasing steps
Üreyen, Mehmet; Orhun, Nevin (1996)Bu çalışmada monoton azalan ve azalan adımlı bazı sıfır dizilerinin fraktal boyutlarının hesaplanmasına ait bir yöntem verilmiştir. Bundan başka, böyle iki dizinin fraktal boyutlarının eşit olması ile bövle bir dizinin ... -
On the Hausdorff dimension of the subsets of $R^n$ under differentiable functions
Azcan, Hüseyin; Üreyen, Mehmet (1996)Bu çalışmada $R^n$ 'nin alt kümelerinin türevlenebilir fonksiyonlar altındaki görüntülerinin Hausdorff boyutları araştırılmıştır. $D\subset R^n$ olmak üzere $f : D\rightarrow R^n $ türevlenebilir fonksiyonu verildiğinde, ... -
On the Minkowski measurability of self-similar fractals in R-d
Deniz, Ali; Koçak, Şahin; Özdemir, Yunus; Ratiu, Andrei; Üreyen, Adem Ersin (Scientific Technical Research Council Turkey-Tubitak, 2013)The question of Minkowski measurability of fractals is investigated for different situations by various authors, notably by M. Lapidus. In dimension one it is known that the attractor of an IFS consisting of similitudes ... -
On the Minkowski measurability of self-similar fractals in Rd
The question of Minkowski measurability of fractals is investigated for different situations by various authors, notably by M. Lapidus. In dimension one it is known that the attractor of an IFS consisting of similitudes ... -
On the Positive Linear Set Valued Maps
Hüseyin, Anar; Hüseyin, Nesir (University Miskolc Inst Math, 2013)In this paper positive linear set valued maps defined on the cone are studied. The representation theorem for positive linear set valued maps is given and Lipschitz continuity of these maps is proved. The estimations of ... -
On the Robust Stability of Polynomial Matrix Families
Büyükköroğlu, Taner; Çelebi, Gökhan; Dzhafarov, Vakif (Int Linear Algebra Soc, 2015)In this study, the problem of robust asymptotic stability of n x n, polynomial matrix family, in both continuous-time and discrete-time cases, is considered. It is shown that in the continuous case the problem can be reduced ...