Assohoun Adjé - Academia.edu (original) (raw)

Drafts by Assohoun Adjé

This paper focuses on showing the existence of solutions for first order differentiable systems o... more This paper focuses on showing the existence of solutions for first order differentiable systems on time scales with initial conditions. Here, the right side of the dynamic equation is nabla Caratheodory. The tube method and the Schauder's theorem were used to prove the existence of the solution to this problem.

Papers by Assohoun Adjé

International Journal of Advanced Computer Science and Applications, 2020

The work on predicting learner performance allows researchers through machine learning methods to... more The work on predicting learner performance allows researchers through machine learning methods to participate in the improvement of e-learning. This improvement allows, little by little, e-learning to be promoted and adopted by several educational structures around the world. Neural networks, widely used in various performance prediction works, have made several exploits. However, factors that are highly influential in the field of learning have not been explored in machine learning models. For this reason, our study attempts to show the importance of the forgetting factor in the learning system. Thus, to contribute to the improvement of accuracy in performance predictions. The interest being to draw the attention of researchers in this field to very influential factors that are not exploited. Our model takes into account the study of the forgetting factor in neural networks. The objective is to show the importance of attenuation the forgetting, on the quality of performance predictions in e-learning. Our model is compared to those based on Random Forest and linear regression algorithms. The results of our study show first that neural networks (95.20%) are better than Random Forest (95.15%) and linear regression (93.80%). Then, with the attenuation of forgetting, these algorithms give 96.63%, 95.85% and 93.80% respectively. This work allowed us to show the great relevance of oblivion in neural networks. Thus, the exploration of other unexploited factors will make better performance prediction models.

Far east journal of applied mathematics, Nov 20, 2015

$Research paper thumbnail of SOLVABILITY FOR SOME BOUNDARY VALUE PROBLEMS WITH \phi-LAPLACIAN OPERATORS AND GENERAL NONLINEAR BOUNDARY CONDITIONS$

Far East Journal of Mathematical Sciences, Oct 1, 2015

In this paper, we study the existence of solutions of the discrete φ-Laplacian equation ∇[φ(u k)]... more In this paper, we study the existence of solutions of the discrete φ-Laplacian equation ∇[φ(u k)] = λf (k, u k , u k), k ∈ [2, n-1] Z , with Dirichlet or mixed boundary conditions. Under general conditions, an explicit estimate of λ 0 is given such that the problem possesses a solution for any |λ| < λ 0 .

$Research paper thumbnail of Lower and Upper Solutions Method for Nonlinear Second-order Differential Equations Involving a <math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi mathvariant="normal">Φ</mi><mo>−</mo></mrow><annotation encoding="application/x-tex">\Phi-</annotation></semantics></math>Φ−Laplacian Operator$

African Diaspora Journal of Mathematics. New Series, 2019

African Diaspora Journal of Mathematics. New Series, 2017

Bulletin de la Classe des sciences. Académie royale de Belgique, 1990

Using upper and lower-solutions method, we develop a monotone iterative techniques to find soluti... more Using upper and lower-solutions method, we develop a monotone iterative techniques to find solutions of nonlinear second order ordinary differential equations [formula] satisfying nonlinear boundary conditions, where the nonlinearity ƒ satisfies Caratheodory conditions.

Journal of Applied Mathematics and Physics, 2019

In this paper, we consider the following second-order nonlinear differential equations' problem:

Boundary Value Problems, 2016

We study the existence of solutions of the quasilinear equation (φ(u (t))) = f (t, u(t), u (t)), ... more We study the existence of solutions of the quasilinear equation (φ(u (t))) = f (t, u(t), u (t)), a.e. t ∈ [0, T], with periodic or nonlinear Neumann-Steklov boundary conditions, where φ : ]-a, a[→ R with 0 < a < +∞ is an increasing homeomorphism such that φ(0) = 0. Combining some sign conditions and the lower and upper solution method, we obtain the existence of solutions when there exists one lower solution or one upper solution.

Far East Journal of Applied Mathematics, 2018

Communications in Mathematics

We study the existence of solutions of the system submitted to nonlinear coupled boundary conditi... more We study the existence of solutions of the system submitted to nonlinear coupled boundary conditions on [0, T] where ∅1, ∅2: (-a, a) → ℝ, with 0 < a < +∞, are two increasing homeomorphisms such that ∅1(0) = ∅2(0) = 0, and fi : [0, T] × ℝ4 → ℝ, i ∈{1, 2} are two L1-Carathéodory functions. Using some new conditions and Schauder fixed point Theorem, we obtain solvability result.

Abstract and Applied Analysis

In this paper, we investigate the existence of solution for differential systems involving a ϕ−La... more In this paper, we investigate the existence of solution for differential systems involving a ϕ−Laplacian operator which incorporates as a special case the well-known p−Laplacian operator. In this purpose, we use a variational method which relies on Szulkin’s critical point theory. We obtain the existence of solution when the corresponding Euler–Lagrange functional is coercive.