2022/1
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- ItemExistence of solutions for a class of second-order boundary value problems(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022) Haghshenas, Hadi; Afrouzi, Ghasem A.We employ some known critical point theorems to establish results on the existence of weak solutions for an impulsive boundary value problem depending on two real parameters. One of the results ensures the existence of at least three weak solutions, while another one proves the existence of at least one.
- ItemIterative system of nabla fractional difference equations with two-point boundary conditions(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022) Khuddush, Mahammad; Prasad, K. RajendraIn this paper, we consider the nabla fractional order boundary value prob- lem ∇ß−1 n0 [∇zj (t)] + φ(t)gj (zj+1(t)) = 0, t ∈ Nn n0+2, 1 < ß < 2, azj (n0 + 1) − b∇zj (n0 + 1) = 0, czj (n) + d∇zj (n) = 0, where j = 1, 2, . . . , N , zN +1 = z1, N ∈ N, n0, n ∈ R with n − n0 ∈ N and de- rive sufficient conditions for the existence of positive solutions by an application of Krasnoselskii’s fixed point theorem on a Banach space. Later, we derive suffi- cient conditions for the existence of a unique solution by applying Rus’s contraction mapping theorem in a metric space, where two metrics are employed.
- ItemNecessary conditions for hyponormality of Toeplitz operators on the Bergman space(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022) Gupta, Anuradha; Aggarwal, AmitaIn this paper, we present necessary conditions for the hyponormality of Toeplitz operator Tφ on the Bergman space L2 a(D) when the symbol φ is a polyno- mial in z and z.
- ItemThird order differential subordination associated with Janowski functions(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022) Jeyaraman, M. P.; Lavanya, V. Agnes S. J.; Aaishafarzana, H.Using the admissibility condition, we obtain certain third order differ- ential subordination results for an analytic function p with p(0) = 1 belonging to the class of Janowski functions, P[A, B]. As an application, certain second order differential inequalities involving special functions are obtained.
- ItemA game theory explanation for menstrual synchrony: The harem paradox(Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2022) Haugen, Kjetil K.The 50th anniversary of the McClintock effect deserves a new view on the subject. This paper applies (evolutionary) game theory to gain further insight. Among interesting results are strong indications of Nash equilibria in mixed strate- gies, indicating that the effect depends on parameters characterizing both females and males in the group. As such, much of the empirical research conducted on the subject over the last 50 years may be questioned. Furthermore, the article predicts that the effect’s potential presence depends strongly on female envy/jealousy as well as male preferences on female attractiveness.