Notes on the existence and uniqueness of solutions of Stieltjes differential equations
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201900138
Abstract: We study some classical uniqueness and existence results, such as Peano's or Osgood's uniqueness criteria, in the context of Stieltjes differential equations. This type of equation is based on derivatives with respect to monotone functions,… read more here.
Keywords: existence uniqueness; notes existence; uniqueness solutions; solutions stieltjes ... See more keywords
Existence and Uniqueness Results for Fractional Differential Equations With Nonlocal Conditions in Lp Spaces
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10633
Abstract: This paper deals with nonlocal initial value problems (IVPs) for modified Caputo fractional differential equations (FDEs) of order α$$ \alpha $$ (0 read more here.
Keywords: equations nonlocal; differential equations; fractional differential; existence uniqueness ... See more keywords
Existence and Uniqueness of Renormalized Solutions for a Nonlinear p(x)‐Parabolic Problem With Lower Order Term and General Data
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10744
Abstract: In this article, we focus on a class of nonlinear parabolic problems having variable exponents, a strictly increasing 𝒞1 ‐function b(x,u)$$ b\left(x,u\right) $$ , and general measure data μ$$ \mu $$ . The existence and… read more here.
Keywords: problem; uniqueness renormalized; existence uniqueness; nonlinear parabolic ... See more keywords
Existence, Uniqueness, and Semiclassical Limit for the Nonisentropic Steady‐State Quantum Hydrodynamic Model of Semiconductors
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.11104
Abstract: In this paper, a quantum hydrodynamic system for particle density, current density, energy density, and electrostatic potential, coupled with a Poisson equation, is studied in spatial one‐dimensional real line. First, the existence and uniqueness of… read more here.
Keywords: nonisentropic steady; semiclassical limit; existence uniqueness; quantum hydrodynamic ... See more keywords
Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5845
Abstract: In this paper, we established some results concerning the existence and uniqueness of a nonlinear Volterra‐Fredholm integro‐differential equation of Caputo fractional order subject to the boundary value conditions. These new results are obtained by applying… read more here.
Keywords: existence uniqueness; volterra fredholm; integro differential; differential equation ... See more keywords
On the existence, uniqueness, and new analytic approximate solution of the modified error function in two‐phase Stefan problems
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7457
Abstract: This paper provides a new proof of the existence and uniqueness of the solution for a nonlinear boundary value problem (1+δy)y′′+2x(1+γy)y′=0,0 read more here.
Keywords: existence uniqueness; approximate solution; uniqueness new; new analytic ... See more keywords
Existence, uniqueness, and Ulam stability of solutions of fractional conformable Langevin system on the ethane graph
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.9975
Abstract: The present study examines the Langevin coupled boundary value problem with the fractional conformable derivative on the ethane graph. The main objective of this research is to establish the existence and uniqueness of solutions with… read more here.
Keywords: existence uniqueness; ulam stability; fractional conformable; ethane graph ... See more keywords
Existence and Uniqueness of Solution for Abstract Differential Equations with State-Dependent Time Impulses
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1308-z
Abstract: We study the existence and uniqueness of mild and classical solutions for abstract impulsive differential equations with state-dependent time impulses and an example is presented. read more here.
Keywords: state dependent; equations state; dependent time; differential equations ... See more keywords
On the Existence, Uniqueness and Regularity of Solutions for a Class of MHD Equations of Non-Newtonian Type
Sign Up to like & getrecommendations! Published in 2020 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-020-01570-y
Abstract: In this paper, we consider a steady MHD fluid model of non-Newtonian type in a smooth bounded domain $$\Omega \in {\mathbb {R}}^3$$ . Using the iterative method, under the condition that the external force is… read more here.
Keywords: mhd; existence uniqueness; regularity; non newtonian ... See more keywords
Existence and Uniqueness of Solution for Stieltjes Differential Equations with Several Derivators
Sign Up to like & getrecommendations! Published in 2021 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-021-01817-2
Abstract: In this paper, we study some existence and uniqueness results for systems of differential equations in which each of the equations of the system involves a different Stieltjes derivative. Specifically, we show that this problems… read more here.
Keywords: solution stieltjes; differential equations; solution; stieltjes differential ... See more keywords
The giant component of excursion sets of spherical Gaussian ensembles: existence, uniqueness, and volume concentration
Sign Up to like & getrecommendations! Published in 2024 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-025-01367-8
Abstract: We establish the existence and uniqueness of a well-concentrated giant component in the supercritical excursion sets of three important ensembles of spherical Gaussian random fields: Kostlan’s ensemble, band-limited ensembles, and the random spherical harmonics. Our… read more here.
Keywords: excursion; giant component; spherical gaussian; existence uniqueness ... See more keywords