Results 1 to 10 of about 201,556 (360)
On the Existence and Uniqueness of the Scientific Method. [PDF]
Biol Theory, 2014 The ultimate utility of science is widely agreed upon: the comprehension of reality. But there is much controversy about what scientific understanding actually means, and how we should proceed in order to gain new scientific understanding. Is there a method for acquiring new scientific knowledge? Is this method unique and universal?
Wagensberg J.
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Existence and Uniqueness [PDF]
Thermodynamics of Materials with Memory, 2011 The study of differential problems related to materials with fading memory began with the work of Graffi [111, 112]. Later on, these studies were considered by many authors, and in particular, a new important description of such phenomena was given by Dafermos in [47, 46], using semigroup theory, where besides existence and uniqueness of the solution ...
Giovambattista Amendola +2 more
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Existence and uniqueness of well-posed fractional boundary value problem. [PDF]
PLoS ONEIn this paper, the existence and uniqueness of solution for a fractional differential model involving well-posed boundary conditions and implicit fractional differential equation is considered.
Yuanheng Wang +4 more
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A new class of double phase variable exponent problems: Existence and uniqueness [PDF]
Journal of Differential Equations, 2021 In this paper we introduce a new class of quasilinear elliptic equations driven by the so-called double phase operator with variable exponents. We prove certain properties of the corresponding Musielak-Orlicz Sobolev spaces (an equivalent norm, uniform ...
Ángel Crespo-Blanco +3 more
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Global Existence and Non-Uniqueness for 3D Navier–Stokes Equations with Space-Time White Noise [PDF]
Archive for Rational Mechanics and Analysis, 2021 We establish that global-in-time existence and non-uniqueness of probabilistically strong solutions to the three dimensional Navier–Stokes system driven by space-time white noise.
Martina Hofmanov'a +2 more
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Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations [PDF]
Stochastics and Partial Differential Equations: Analysis and Computations, 2022 We present two criteria for the existence and uniqueness of a maximal strong solution for a general class of stochastic partial differential equations. Each criterion has its corresponding set of assumptions and can be applied to viscous fluid equations ...
D.P. Goodair, D. Crisan, Oana Lang
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Hilfer Fractional Quantum Derivative and Boundary Value Problems
Mathematics, 2022 In this paper, we introduce an extension of the Hilfer fractional derivative, the “Hilfer fractional quantum derivative”, and establish some of its properties.
Phollakrit Wongsantisuk +3 more
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Straightening: existence, uniqueness and stability [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014 Abstract One of the least studied universal deformations of incompressible nonlinear elasticity, namely the straightening of a sector of a circular cylinder into a rectangular block, is revisited here and, in particular, issues of existence and stability are addressed.
Michel Destrade +3 more
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On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems [PDF]
Journal of difference equations and applications (Print), 2021 For a map T from to C of the form , the dynamical system as a population model is competitive if . A well know theorem for competitive systems, presented by Hirsch [On existence and uniqueness of the carrying simplex for competitive dynamical systems, J.
Zhanyuan Hou
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Fractal and Fractional, 2022 This paper concerns with the existence and uniqueness of fuzzy fractional evolution equation with uncertainty involves function of form cDαx(t)=f(t,x(t),Dβx(t)),Iαx(0)=x0,x′(0)=x1, where ...
R. Shafqat +3 more
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