Multiplicity results for a class of nonlinear singular differential equation with a parameter

OMA-Vol. 7 (2023), Issue 2, pp. 38 – 44 Open Access Full-Text PDF
Shaowen Li

Abstract: This paper gives sufficient conditions for the existence of positive periodic solutions to general indefinite singular differential equations. Furthermore, under some assumptions we show the existence of two positive periodic solutions. The methods used are Krasnoselski\(\breve{\mbox{i}}\)’s-Guo fixed point theorem and the positivity of the associated Green’s function.

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An introduction to the construction of subfusion frames

OMA-Vol. 7 (2023), Issue 2, pp. 31 – 37 Open Access Full-Text PDF
E. Rahimi and Z. Amiri

Abstract: Fusion frames and subfusion frames are generalizations of frames in the Hilbert spaces. In this paper, we study subfusion frames and the relations between the fusion frames and subfusion frame operators. Also, we introduce new construction of subfusion frames. In particular, we study atomic resolution of the identity on the Hilbert spaces and derive new results.

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Upper Estimates For Initial Coefficients and Fekete-Szegö Functional of A Class of Bi-univalent Functions Defined by Means of Subordination and Associated with Horadam Polynomials

OMA-Vol. 7 (2023), Issue 2, pp. 21 – 30 Open Access Full-Text PDF
Atinuke Ayanfe Amao and Timothy Oloyede Opoola

Abstract: In this work, a new class of bi-univalent functions \(I^{n+1}_{\Gamma_m,\lambda}(x,z)\) is defined by means of subordination. Upper bounds for some initial coefficients and the Fekete-Szegö functional of functions in the new class were obtained.

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Some new results of Ostrowski type inequalities using 4-step quadratic kernel and their applications

OMA-Vol. 7 (2023), Issue 2, pp. 8 – 20 Open Access Full-Text PDF
Rana Muhammad Kashif Iqbal,Ather Qayyum, ayyaba Nashaiman Atta,Muhammad Moiz Basheer and Ghulam Shabbir

Abstract: This work is a generalization of Ostrowski type integral inequalities using a special 4-step quadratic kernel. Some new and useful results are obtained. Applications to Quadrature Rules and special Probability distribution are also evaluated.

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Floquet exponent of solution to homogeneous growth-fragmentation equation

OMA-Vol. 7 (2023), Issue 2, pp. 1 – 7 Open Access Full-Text PDF
MEAS Len

Abstract: In this work, we establish the existence and uniqueness of solution of Floquet eigenvalue and its adjoint to homogeneous growth-fragmentation equation with positive and periodic coefficients. We study the Floquet exponent, which measures the growth rate of a population. Finally, we establish the long term behavior of solution to the homogeneous growth-fragmentation equation by entropy method [1,2,3].

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