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Öğe Nonlinear solutions of conformable fractional differential equations(2018) Turut, Veyis; Badur, SaraÖğe An efficient nonlinear technique for systems of fractional differential equations(Istanbul Gelisim University, 2017) Turut, Veyis; Bayram, MustafaÖğe Bazı saturated sayısal yarıgruplar üzerine(Dicle Üniversitesi, 2016-12) Süer, Meral; İlhan, Sedat; Çelik, AhmetÖğe Numerical comparisons for fokker planck equations(Yıldız Technical University, 2015) Turut, Veyis; Bayram, MustafaÖğe All arf or saturated numerical semigroups with multiplicity 7(Dicle Üniversitesi, 2016-12) Süer, MeralÖğe The results on some Arf numerical semigroups with multiplicity 8(İksad Publications, 2019-12-16) Süer, Meral; İlhan, Sedat; Karakaş, İbrahimIn this paper, we will give some results about Frobenius number, Apery set, type, genus and determine number of Arf numerical semigroup S such that m S() 8 = and CS C ( ) 0, 2,3, 4,5,6,7 ( mod8).Öğe The special gaps of some Arf numerical semigroups(IKSAD Publishing House, 2018-05-01) Süer, Meral; Yalçın, Burak YasinThe concept of special gap of a numerical semigroup is used to by the problem of finding the set of all numerical semigroups containining a given numerical semigroup. In this study, we will find the specific gaps of some Arf numerical semigroups families and all numerical semigroups containining them.Öğe Rational approximations for solving cauchy problems(Yıldız Technical University, 2015) Turut, Veyis; Bayram, MustafaÖğe Some new results on inner product quasilinear spaces(Matematikçiler Derneği, 2017) Bozkurt, Hacer; Yılmaz, YılmazAseev in [1] introduced the theory of quasilinear spaces which is generalization of classical linear spaces. He used the partial order relation when he defined the quasilinear spaces and so he can give consistent counterparts of results in linear spaces. Further, he also described the convergence of sequences and norm in quasilinear space. We see from the definition of quasilinear space which given in [1], the inverse of some elements of in quasilinear space may not be available. In [4], these elements are called as singular elements of quasilinear space. At the same time the others which have an inverse are referred to as regular elements. Then, [6], she noticed that the base of each singular elements of a combination of regular elements of the quasilinear space. Therefore, she defined the concept of the floor of an element in quasilineer space in [6] which is very convenient for some analysis of quasilinear spaces. This work has motivated us to introduce some results about the floors of inner product quasilinear spaces. In this article, we research on the properties of the floor of an element taken from an inner product quasilinear space. We prove some theorems related to this new concept. Further, we try to explore some new results in quasilinear functional analysis. Also, some examples have been given which provide an important information about the properties of floor of an inner product quasilinear space.Öğe Saturated numerical semigroups with multiplicity four(Fırat Üniversitesi, 2016-05) Süer, Meral; İlhan, SedatA subset S of N is called a numerical semigroup if S is closed under addition and S has element 0 and N\S is finite where N denotes the set of nonnegative integers. A numerical semigroup S is saturated if the following condition holds: s, s1,s2, …,sk belongs to S are such that s1 < s or equal to s, for all 1 < I < k or i=1 and i=k , and c1,c2,…,ck belongs to are such that c1s1+c2s2+…+cksk > 0 or equal to 0, then s+ c1s1+c2s2+…+cksk belongs to S. The frobenius number of S is the maximum integer not belonging to S, which is denoted by F(S). H(S)= N\S is the set of the elements gaps of S, and the cardinality elements of H(S) is called genus of S, and denoted by g(S). It is said that an integer x is a Pseudo-Frobenius number if x+s belongs to S for s > 0, s belongs to S and x belongs to \S. In this study, we will characterize the all families of Saturated numerical semigroups with multiplicity four. These numerical semigroups generated by 4,k,k 1,k 2 for k>5 or k=5, k=1(mod4), and 4,k,k 2,k 3 for k > 7 or k=7, k=3(mod4), and 4,k,k t,k t 2 for k > 6 or k=6, k=2(mod 4), respectively. We will prove that Saturated numerical semigroups such that multiplicity four. Also, we will give formulas Frobenius number F S( ) , Pseudo Frobenius number PF S( ) , gaps H S( ) and genus g S( ) of these numerical semigroups.
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