We prove the existence of a curve (with respect to the scalar delay) of periodic positive solutions for a smooth model of Cooke- Kaplan’s integral equation by using the implicit function theorem under suitable conditions. We also show a situation in [...]
We provide two new algorithms with applications to asymptotically exact minimizations with inequalities constraints. These results generalize and improve the works of Andreani, Birgin, Martinez and Schuverdt on minimization with equality constraint [...]
A model that takes into account multi-mutation and drug resistance in a case of sim- ple immune system and immune-suppression caused by drug resistant tumor cells is proposed. Since methods for revising therapeutic approaches (immunotherapy and ch [...]
We show that the sublinearity hypothesis of some well-known existence results on multipoint Boundary Value Problems (in short BVPs) may allow the existence of infinitely many solutions by using Tietze extension theorem. This is a qualitative result [...]
In this paper, we prove the nonexistence of factoriangular numbers in balancing and Lucas-balancing sequence. [...]
ODJOUMANI JAPHET [2], RAYAGURU SAI GOPAL [1], PANDA GOPAL KRISHNA [2],
Let k, m and n be integers. In this paper, for a fixed integer μ nonzero, we show that the family of Thue equation x^4 − kmnx^3y + (km^2 − kn^2 + 2)x^2y^2 + kmnxy^3 + y^4 = μ, is reducible by Tzanakis’s method into a system of pellian equations k [...]
In this paper, we consider the following family of biquadratic fields: K = \mathbb{Q}(\sqrt{18n^2 + 17n + 4},\sqrt{2n^2 + n}), and show that provided that 18n^2 + 17n + 4 and 2n^2 +n are both square-free, K does not admit a power integral basis con [...]
We show that the only Pell numbers which are factoriangular are 2, 5 and 12. [...]
Parakou occupies a strategic place in the socio-economic development of Benin due to its geographical position. Based on the Urban Land Registry data, and census data from the National Institute of Statistics and Applied Economics coupling with the [...]
LANMANDJEKPOGNI PAUL [1], CODO FRANCOIS DE PAULE [2], YAO BENJAMIN [3],
In this paper, we study some geometric properties of statistical manifold equipped with the Riemannian Otto metric which is related to the L 2 -Wasserstein distance of optimal mass transport. We construct some α -connections on such manifold and we p [...]
OGOUYANDJOU CARLOS [1], WADAGNI NESTOR [2], WADAGNI NESTOR [2],