Results 41 to 50 of about 831 (128)

Novel solutions and stability of quaternion differential equations: symmetry and asymmetry analyses using matrix representation and Lyapunov methods

Applied Mathematics in Science and Engineering
The article demonstrates the novel solutions available for several QDEs and offers incredible promise for the investigation of quaternion differential equations (QDEs).
Prasantha Bharathi Dhandapani, Anthony Raj Abraham, Hijaz Ahmad, Taha Radwan   +3 more
doaj   +1 more source

Global Flows with Invariant Measures for the Inviscid Modified SQG Equations

, 2017
We consider the family known as modified or generalized surface quasi-geostrophic equations (mSQG) consisting of the classical inviscid surface quasi-geostrophic (SQG) equation together with a family of regularized active scalars given by introducing a ...
Nahmod, Andrea, Pavlovic, Natasa, Staffilani, Gigliola, Totz, Nathan   +3 more
core   +1 more source

Analysis of a Radiotherapy Model for Brain Tumors

Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.
ABSTRACT In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors undergoing radiotherapy treatment. Under certain assumptions regarding the given data in the model, we prove the existence and uniqueness of a weak nonnegative (biologically relevant) solution.
Marina Chugunova, Hangjie Ji, Roman Taranets, Nataliya Vasylyeva   +3 more
wiley   +1 more source

Dynamical analysis of tumor–dystrophin interaction model with impact of age of onset and staging

Fixed Point Theory and Algorithms for Sciences and Engineering
In this research work, the authors present a mathematical model to study the biological interplay between tumor growth, dystrophin protein, and the impact of age of onset and staging through a system of ordinary differential equations (ODEs).
Ausif Padder, Sania Qureshi, R. S. Dubey, Mehraj ud Din Rather, Afroz Afroz   +4 more
doaj   +1 more source

Forward‐looking experimentation of correlated alternatives

Theoretical Economics, Volume 20, Issue 3, Page 883-909, July 2025.
This paper studies how a forward‐looking decision maker experiments on unknown alternatives of correlated utilities. The utilities are modeled by a Brownian motion such that similar alternatives yield similar utilities. Experimentation trades off between the continuation value of exploration and the opportunity cost of exploitation.
Yu Fu Wong
wiley   +1 more source

Qualitative analysis of dynamic equations on time scales

Electronic Journal of Differential Equations, 2018
In this article, we establish the Picard-Lindelof theorem and approximating results for dynamic equations on time scale. We present a simple proof for the existence and uniqueness of the solution.
Syed Abbas
doaj  

Forward uncertainty quantification in random differential equation systems with delta‐impulsive terms: Theoretical study and applications

Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7609-7629, 15 May 2025.
This contribution aims at studying a general class of random differential equations with Dirac‐delta impulse terms at a finite number of time instants. Our approach directly addresses calculating the so‐called first probability density function, from which all the relevant statistical information about the solution, a stochastic process, can be ...
Vicente J. Bevia, Juan C. Cortés, Rafael J. Villanueva   +2 more
wiley   +1 more source

A Theory of Generalized Coordinates for Stochastic Differential Equations

Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.
ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa, Nathaël Da Costa, Conor Heins, Johan Medrano, Grigorios A. Pavliotis, Thomas Parr, Ajith Anil Meera, Karl Friston   +7 more
wiley   +1 more source

Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
This paper establishes the existence, uniqueness and time–space regularity of the weak solution to a nonlinear coupled parabolic system modeling temperature evolution in a coaxial heat exchanger with source terms and spatially varying coefficients. The system is formulated in a weak sense and the analysis relies on a Faedo–Galerkin method tailored to ...
Kouma Ali Ouattara, Bomisso Gossrin Jean-Marc, Bérenger Akon Kpata, Touré Kidjégbo Augustin, Simeon Reich   +4 more
wiley   +1 more source

A Comparative Study of Linearization Techniques With Adaptive Block Hybrid Method for Solving First‐Order Initial Value Problems

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper investigates linearization methods used in the development of an adaptive block hybrid method for solving first‐order initial value problems. The study focuses on Picard, linear partition, simple iteration, and quasi‐linearization methods, emphasizing their role in enhancing the performance of the adaptive block hybrid method. The efficiency
Salma Ahmedai, Precious Sibanda, Sicelo Goqo, Osman Noreldin, Jaume Giné   +4 more
wiley   +1 more source