Yazar
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Caratheodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces
Yantir, A.; Kubiaczyk, I.; Sikorska-Nowak, A. (DE GRUYTER POLAND SP ZOO, 2015)In this paper, we present the existence result for Caratheodory type solutions for the nonlinear Sturm-Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale. For this purpose, we introduce ... -
EXISTENCE OF SOLUTIONS OF THE DYNAMIC CAUCHY PROBLEM IN BANACH SPACES
Cichon, M.; Kubiaczyk, I.; Sikorska-Nowak, A.; Yantir, A. (DE GRUYTER POLAND SP Z O O, 2012)In this paper we obtain the existence of solutions and Caratheodory type solutions of the dynamic Cauchy problem in Banach spaces for functions defined on time scales x(triangle)(t) = f(t,x(t)), x(0)=x(o), t is an element ... -
EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL INCLUSIONS WITH p-LAPLACIAN OPERATOR
Yantir, A.; Topal, F.S. (TEXAS STATE UNIV, 2014)In this article, we prove the existence of solutions for three-point fractional differential inclusions with p-Laplacian operator. We use fixed point theory for set valued upper semi-continuous maps for obtaining the solutions. -
Generalized quantum exponential function and its applications
Silindir, B.; Yantir, A. (UNIV NIS, FAC SCI MATH, 2019)This article aims to present (q,h) analogue of exponential function which unifies, extends h-and q-exponential functions in a convenient and efficient form. For this purpose, we introduce generalized quantum binomial which ... -
Measure on time scales with mathematica
Ufuktepe, U.; Yantir, A. (SPRINGER-VERLAG BERLIN, 2006)In this paper we study the Lebesgue Delta-measure on time scales. We refer to [3, 4] for the main notions and facts from the general measure and Lebesgue Delta integral theory. The objective of this paper is to show how ... -
Nonlinear Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces
Yantir, A.; Kubiaczyk, I.; Sikorska-Nowak, A. (BELGIAN MATHEMATICAL SOC TRIOMPHE, 2013)This paper is devoted to prove the existence of solutions of the nonlinear Sturm-Liouville boundary value problem on time scales in Banach spaces. We obtain the sufficient conditions for the existence of solutions in terms ... -
On continuous dependence of solutions of dynamic equations
Cichon, M.; Yantir, A. (ELSEVIER SCIENCE INC, 2015)The main goal of the paper is to present a new approach to the problem of continuous dependence of solutions of differential or dynamic problems on their domains. This is of particular interests when we use dynamic ... -
Weak solutions of a hyperbolic-type partial dynamic equation in Banach spaces
Yantir, A.; Soyoglu, D. (HACETTEPE UNIV, FAC SCI, 2015)In this article, we prove an existence theorem regarding the weak solutions to the hyperbolic-type partial dynamic equation z(Gamma Delta)(x, y) = f(x, y, z(x, y)), x(x, 0) = 0, z(0, y) = 0 , x is an element of T-1, y is ...
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