Results 71 to 80 of about 1,516 (136)
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
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Nonlinear analysis for Hilfer fractional differential equations
Franklin OpenIn this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
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Ulam Stability of a Quartic Functional Equation
Abstract and Applied Analysis, 2012 The oldest quartic functional equation was introduced by J. M. Rassias in (1999), and then was employed by other authors. The functional equation f(2x + y) + f(2x − y) = 4f(x + y) + 4f(x − y) + 24f(x) − 6f(y) is called a quartic functional equation, all of its solution is said to be a quartic function.
Bodaghi, Abasalt +2 more
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A characterisation of snowflakes via rectifiability
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We prove a generalisation to every metric space of Tyson–Wu's characterisation of metric spaces biLipschitz equivalent to snowflakes, by removing compactness, doubling and embeddability assumptions. We also characterise metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non‐trivial metric 1‐currents in ...
Emanuele Caputo, Nicola Cavallucci
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Strain‐Activated Photo‐Dehalogenation Unlocks Low‐Energy One and Two‐Photon 3D Microfabrication
Advanced Functional Materials, Volume 36, Issue 13, 12 February 2026.5,14‐NMI‐Cz acts, conversely to its 7,10‐NMI‐Cz(7,10‐'dibromo‐2‐(2,6‐diisopropylphenyl)‐1H‐benzo[lmn]carbazolo[9,1‐bc][2,8]phenanthroline‐1,3(2H)‐dione) counterpart, as modular photoinitiator with panchromatic photoactivity, featuring a weak C–Br bond from geometric strain for efficient Type I & II initiation. These studies demonstrate applicability of
Kacper Piskorz +10 more
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MathematicsUlam type stability is an important property studied for different types of differential equations. When this type of stability is applied to boundary value problems, there are some misunderstandings in the literature. In connection with this, initially,
Ravi P. Agarwal +2 more
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On a general Hyers‐Ulam stability result
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we prove two general theorems about Hyers‐Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.
Costanz Borelli, Gian Luigi Forti
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Evaluating the Resistance of Bifacial Perovskite Photodetectors to Xenon Ion Irradiation
Advanced Science, Volume 13, Issue 9, 13 February 2026.Bifacial perovskite photodetectors maintain high efficiency and stability after 231 MeV xenon ion irradiation. Key photodetector parameters remain nearly unchanged at low fluence (1010 nucleons cm−2) and show only moderate degradation at high fluence (1011 nucleons cm−2), highlighting their strong radiation tolerance and suitability for optoelectronic ...
Yerassyl Yerlanuly +5 more
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Hyers‐Ulam‐Rassias stability of generalized derivations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The generalized Hyers‐Ulam‐Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.
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Innovative Approaches to Modelling and Forecasting in Fisheries: A Critical Review
Aquaculture, Fish and Fisheries, Volume 6, Issue 1, February 2026.ABSTRACT Fisheries management increasingly demands robust forecasting tools to address growing environmental variability, anthropogenic pressures and complex ecological dynamics. This review systematically examines innovative modelling and forecasting approaches in fisheries, focusing on their descriptions, applications, strengths and limitations and ...
Mohammad Abu Baker Siddique +5 more
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