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Application of a Variant of Mountain Pass Theorem in Modeling Real Phenomena

open access: yesMathematics, 2022
Mountain Pass Theorem (MPT) is an important result in variational methods with multiple applications in partial differential equations involved in mathematical physics. Starting from a variant of MPT, a new result concerning the existence of the solution
Irina Meghea
doaj   +2 more sources

Solutions for Some Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 1

open access: yesAxioms, 2023
This paper brings together methods to solve and/or characterize solutions of some problems of mathematical physics equations involving p-Laplacian and p-pseudo-Laplacian.
Irina Meghea
doaj   +2 more sources

Solutions for Some Specific Mathematical Physics Problems Issued from Modeling Real Phenomena: Part 2

open access: yesAxioms, 2023
This paper brings together methods to solve and/or characterize solutions of some problems of mathematical physics equations involving p-Laplacian and p-pseudo-Laplacian. Using the widely debated results of surjectivity or variational approaches, one may
Irina Meghea
doaj   +2 more sources

On an Ambrosetti-Prodi Type Problem with Applications in Modeling Real Phenomena

open access: yesMathematics
This work presents a solving method for problems of Ambrosetti-Prodi type involving p-Laplacian and p-pseudo-Laplacian operators by using adequate variational methods. A variant of the mountain pass theorem, together with a kind of Palais-Smale condition,
Irina Meghea
doaj   +2 more sources

Editorial: Mathematical modeling and optimization for real life phenomena

open access: yesFrontiers in Applied Mathematics and Statistics
Cristiana J. Silva   +2 more
doaj   +2 more sources

Instantaneous and time-averaged intensity flow measurements in scale models [PDF]

open access: yesJASA Express Letters, 2023
Current methods of representing energy flows in rooms have been limited to stationary pressure contour maps or intensity vectors derived from finite-element modeling (FEM) software.
Daniel Tay, Ning Xiang
doaj   +1 more source

Elucidating the Effects of Ionizing Radiation on Immune Cell Populations: A Mathematical Modeling Approach with Special Emphasis on Fractional Derivatives

open access: yesMathematics, 2023
Despite recent advances in the mathematical modeling of biological processes and real-world situations raised in the day-to-day life phase, some phenomena such as immune cell populations remain poorly understood.
Dalal Yahya Alzahrani   +2 more
doaj   +1 more source

Mathematical Modeling of Neurons and Brain Networks: Fundamental Principles and Special Applications

open access: yesMathematics, 2023
Mathematical modeling is a necessary step in understanding real world phenomena after experimental data are obtained and analyzed [...]
Ilya V. Sysoev
doaj   +1 more source

Modeling some real phenomena by fractional differential equations [PDF]

open access: yesMathematical Methods in the Applied Sciences, 2015
This paper deals with fractional differential equations with dependence on a Caputo fractional derivative of real order. The goal is to show, based on concrete examples and experimental data from several experiments, that fractional differential equations may model more efficiently certain problems than ordinary differential equations.
Almeida, Ricardo   +2 more
openaire   +4 more sources

The Application of Spatial Autoregressive Models for Analyzing the Influence of Spatial Factors on Real Estate Prices and Values

open access: yesReal Estate Management and Valuation, 2021
The spatial distribution of real estate in specific geographic locations, real estate transactions, and the prices and values of properties are a highly complex spatial phenomena that should be analyzed with the use of multidimensional methods.
KobyliƄska Katarzyna
doaj   +1 more source

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