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 of solutions to Riesz-Caputo impulsive fractional boundary value problems
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DOI: 10.1080/09720502.2020.1826629
Abstract: Abstract This paper concerns the existence and uniqueness of solutions for a class of impulsive fractional initial/boundary value problems of the Riesz-Caputo differential equation. Numerical examples are given to illustrate the theoretical findings. read more here.
Keywords: existence uniqueness; boundary value; value problems; impulsive fractional ... See more keywords
Uniqueness of solutions in the boundary value problems of bending of thin micropolar plates with surface effects
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DOI: 10.1177/10812865241302745
Abstract: We propose a micropolar thin plate theory that incorporates surface elasticity effects to take into account simultaneously the contribution of high surface-to-volume ratios and the influence of microstructural mechanics at micro/nano scales. Using a direct… read more here.
Keywords: solutions boundary; mechanics; boundary value; uniqueness solutions ... See more keywords
Existence and uniqueness of solutions for system of Hilfer–Hadamard sequential fractional differential equations with two point boundary conditions
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DOI: 10.1186/s13662-019-2459-8
Abstract: In this paper, we study existence and uniqueness of solutions for a system of Hilfer–Hadamard sequential fractional differential equations via standard fixed point theorems. The existence is proved by using the Leray–Schauder alternative, while the… read more here.
Keywords: existence; existence uniqueness; solutions system; system hilfer ... See more keywords
On uniqueness of solutions to martingale problems — counterexamples and sufficient criteria
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DOI: 10.1214/20-ejp494
Abstract: The dynamics of a Markov process are often specified by its infinitesimal generator or, equivalently, its symbol. This paper contains examples of analytic symbols which do not determine the law of the corresponding Markov process… read more here.
Keywords: uniqueness solutions; solutions martingale; problems counterexamples; sufficient criteria ... See more keywords
Existence and uniqueness of solutions of nonlinear fractional order problems via a fixed point theorem
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2019-0273
Abstract: Abstract In this paper, we introduce an Caputo fractional high-order problem with a new boundary condition including two orders γ ∈ ( n 1 − 1 , n 1 ] $\gamma \in \left({n}_{1}-1,{n}_{1}\right]$ and η… read more here.
Keywords: order; point theorem; existence uniqueness; uniqueness solutions ... See more keywords
Existence and uniqueness of solutions of an A-harmonic elliptic equation
Sign Up to like & getrecommendations! Published in 2019 at "Studia Scientiarum Mathematicarum Hungarica"
DOI: 10.1556/012.2019.56.1.1410
Abstract: This paper deals with the existence and uniqueness of weak solution of a problem which involves a class of A-harmonic elliptic equations of nonhomogeneous type. Under appropriate assumptions on the function f, our main results… read more here.
Keywords: existence uniqueness; harmonic elliptic; elliptic equation; uniqueness solutions ... See more keywords
Analyzing Uniqueness of Solutions in Nonlinear Fractional Differential Equations with Discontinuities Using Lebesgue Spaces
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DOI: 10.3390/axioms14010026
Abstract: We explore the existence and uniqueness of solutions to nonlinear fractional differential equations (FDEs), defined in the sense of RL-fractional derivatives of order η∈(1,2). The nonlinear term is assumed to have a discontinuity at zero.… read more here.
Keywords: differential equations; fractional differential; solutions nonlinear; lebesgue spaces ... See more keywords
Existence and Uniqueness of Solutions to SDEs with Jumps and Irregular Drifts
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DOI: 10.3390/axioms14050374
Abstract: We focus on solving stochastic differential equations driven by jump processes (SDEJs) with measurable drifts that may exhibit quadratic growth. Our approach leverages a space transformation and Itô-Krylov’s formula to effectively eliminate the singular component… read more here.
Keywords: jumps irregular; irregular drifts; existence uniqueness; solutions sdes ... See more keywords
Existence, Regularity, and Uniqueness of Solutions to Some Noncoercive Nonlinear Elliptic Equations in Unbounded Domains
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DOI: 10.3390/math12121860
Abstract: In this paper, we study a noncoercive nonlinear elliptic operator with a drift term in an unbounded domain. The singular first-order term grows like |E(x)||∇u|, where E(x) is a vector field belonging to a suitable… read more here.
Keywords: nonlinear elliptic; existence regularity; noncoercive nonlinear; uniqueness solutions ... See more keywords
Uniqueness of solutions to fuzzy relational equations regarding Max - av composition and strong regularity of the matrices in Max - av algebra
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Industrial and Management Optimization"
DOI: 10.3934/jimo.2017087
Abstract: The problem of solving a fuzzy relational equation plays an important role in fuzzy systems. In this paper, we investigate the uniqueness of solutions of fuzzy relational equations regarding Max - av composition through the… read more here.
Keywords: relational equations; solutions fuzzy; equations regarding; uniqueness solutions ... See more keywords