Cover Image

A General Version of Carathéodory's Existence and Uniqueness Theorem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	de Carvalho-Neto, Paulo M., Frota, Cícero L., Torelli, Pedro G. P.
Format:	Preprint
Published:	2025
Subjects:	Classical Analysis and ODEs Functional Analysis 26A33, 34A08, 34A12
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

There and Back Again: Revisiting the Failure of Concatenation in Mittag-Leffler Functions
by: Carvalho-Neto, Paulo M., et al.
Published: (2025)

The flaw in the conformable calculus: it is conformable because it is not fractional
by: Abdelhakim, Ahmed A.
Published: (2018)

On the separation of solutions to fractional differential equations of order $α\in (1,2)$
by: Chaudhary, Renu, et al.
Published: (2024)

The Gronwall inequality
by: Howard, Ralph
Published: (2025)

Analytical closed-form solution of the Bagley-Torvik equation
by: González-Santander, Juan Luis, et al.
Published: (2025)

Wiman-Valiron method for fractional derivatives and sharp growth estimates of $α$-analytic solutions for linear fractional differential equations
by: Chyzhykov, Igor
Published: (2026)

A critical analysis of the conformable derivative
by: Abdelhakim, Ahmed A., et al.
Published: (2018)

Relaxation equations with stretched non-local operators: renewal and time-changed processes
by: Beghin, Luisa, et al.
Published: (2025)

Theory on linear L-fractional differential equations and a new Mittag-Leffler-type function
by: Jornet, Marc
Published: (2024)

On the exactness of the Kiguradze-Kvinikadze blow-up condition for nonlinear ordinary differential equations
by: Kon'kov, A. A.
Published: (2024)

A Numerical Approach for Solving of Fractional Emden-Fowler Type Equations
by: Rebenda, Josef, et al.
Published: (2019)

Solution of the scalar Riccati equation
by: Gibson, Peter C.
Published: (2025)

The generalized Duhamel principle for fully coupled systems of fractional order
by: Umarov, Sabir
Published: (2026)

On Uniqueness of a Solution to the Boundary Initial Value Problem
by: Basov, Vladimir V.
Published: (2024)

Differential equations on a $k$-dimensional torus: Poincaré type results
by: Sakhnovich, Lev
Published: (2024)

Global Existence and Mass Decay Analysis of solutions to the discrete Redner-Ben-Avraham-Kahng coagulation model
by: Verma, Pratibha
Published: (2023)

Stability Properties of Multi-Order Fractional Differential Systems in 3D
by: Diethelm, Kai, et al.
Published: (2023)

On increasing solutions of half-linear delay differential equations
by: Matucci, Serena, et al.
Published: (2020)

An Exact Perturbative Existence and Uniqueness Theorem
by: Nikolaev, Nikita
Published: (2022)

Stieltjes differential equations with bounded-variation derivators and application to thermal stress in solar panels
by: Maia, Lamiae, et al.
Published: (2025)

On the kernel of the Stieltjes derivative and the space of bounded Stieltjes-differentiable functions
by: Fernández, Francisco J., et al.
Published: (2025)

An elementary proof of the existence and uniqueness of solutions to an initial value problem
by: Castrillón, Luca Tanganelli
Published: (2024)

Forced oscillations for generalized $Φ$-Laplacian equations with Carathéodory perturbations
by: Calamai, Alessandro, et al.
Published: (2025)

Properties of generalized Jacobi elliptic functions with three parameters
by: Sato, Hajime, et al.
Published: (2025)

The discrete generalized exchange-driven system
by: Barik, P. K., et al.
Published: (2024)

Global stability of the Lengyel-Epstein systems
by: Arakaki, Lucas Queiroz, et al.
Published: (2025)

Localization and global dynamics in the long-range discrete nonlinear Schrödinger equation
by: Choi, Brian, et al.
Published: (2023)

Rigidity in the Planar Ulam Floating Body Problem with perimetral density $σ=\tfrac16$
by: Asipchuk, Oleg, et al.
Published: (2026)

The Specular Derivative
by: Jung, Kiyuob, et al.
Published: (2022)

Some results on Simpson type conformable fractional inequalities
by: Şanlı, Zeynep
Published: (2020)

Regular linear time varying DAEs are equivalent to DAEs in strong standard canonical form
by: Schwarz, Diana Estévez, et al.
Published: (2025)

Computing standard canonical forms of regular linear time varying DAEs via a preliminary stage
by: Schwarz, Diana Estévez, et al.
Published: (2025)

The common ground of DAE approaches. An overview of diverse DAE frameworks emphasizing their commonalities
by: Schwarz, Diana Estévez, et al.
Published: (2024)

Stieltjes analytic functions and higher order linear differential equations
by: Cora, Víctor, et al.
Published: (2023)

On the existence of solutions of dynamic equations on time scales in Banach spaces
by: Oberta, Dušan
Published: (2025)

Semi-discrete linear hyperbolic polyharmonic flows of closed polygons
by: McCoy, James, et al.
Published: (2025)

Linear Semi-discrete Polyharmonic Flows of Closed Polygons
by: McCoy, James, et al.
Published: (2025)

Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks
by: Filipkovska, Maria
Published: (2023)

Periodic second-order systems and coupled forced Van der Pol oscillators
by: Minhós, Feliz, et al.
Published: (2023)

On the solutions to linear systems of moment differential equations with variable coefficients
by: Lastra, Alberto
Published: (2025)