Results 61 to 70 of about 7,755,587 (178)
Efficient numerical methods for Volterra integral equations of Hammerstein type [PDF]
, 2006 Volterra integral equations (VIEs) are the mathematical model of many evolutionary problems with memory arising from biology, chemistry, physics, engineering.
Del Prete, Ida
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Generalized free wreath products and their operator algebras
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley +1 more source
Several Methods for Solving Simultaneous Fermat-Pell Equations [PDF]
, 2000 In our previous papers [12] and [13] , we have exhibited the structure of certain real bicyclic biquadratic fields and as a byproduct solved the simultaneous Fermat-Pell equations x^2-3y^2=1, y^2-2z^2=-1 have only one non-negative integer solution: (x, y,
70194777 +5 more
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Photon‐Sphere Modes in Curved Optical Microcavities: A Black‐Hole Analogue Laser
Advanced Science, Volume 13, Issue 28, 18 May 2026.An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Chenni Xu +9 more
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On the Fermat-type equation $x^3 + y^3 = z^p$ [PDF]
Commentarii Mathematici Helvetici, 2016 We prove that the Fermat-type equation x^3 + y^3 = z^p has no solutions (a,b,c) satisfying abc \neq 0
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Fermat's type equations in the set of 2×2 integral matrices
Tsukuba Journal of Mathematics, 1998 Let \((*)\) be \(X^n+ Y^n= Z^n\) and \((**)\) be \(X^n+ Y^n+ Z^n= W^n\) \((n\geq 1)\). Let \(G(k,m)= \{M\); \(\text{det}(M)= m\}\), where \(M= \left( \begin{smallmatrix} r&b\\ ks&r \end{smallmatrix} \right)\), \(r,s\in \mathbb{Z}\); \(k\) a fixed positive integer not a perfect square. The following theorems are proved: 1.
Cao, Zhenfu, Grytczuk, Aleksander
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Characterization of solutions of refined Fermat-type functional equations in $ \mathbb{C}^n $
, 2023 The main purpose of this article is concerned with the existence and the precise forms of the transcendental solutions of several refined versions of Fermat-type functional equations with polynomial coefficients in several complex variables by utilizing ...
Ahamed, Molla Basir, Mandal, Sanju
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Fermat-like equations that are not partition regular [PDF]
, 2017 By means of elementary conditions on coefficients, we isolate a large class of Fermat-like Diophantine equations that are not partition regular, the simplest examples being xn + ym = zk with k â n ...
Riggio, Maria +3 more
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Application of Wavelet Transform to Urysohn-Type Equations
, 2023 This paper deals with convolution-type Urysohn equations of the first kind. Finding a solution for such equations is an ill-posed problem. For it to be solved, regularization algorithms and the continuous wavelet transform are used.
V. Belozub, V. Lukianenko, M. Kozlova
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Demonstratio MathematicaThis study is devoted to exploring the existence and the precise form of finite-order transcendental entire solutions of second-order trinomial partial differential-difference equations L(f)2+2hL(f)f(z1+c1,z2+c2)+f(z1+c1,z2+c2)2=eg(z1,z2)L{(f)}^{2}+2hL(f)
Xu Hong Yan, Haldar Goutam
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