Results 61 to 70 of about 139,246 (209)
Oscillation theorems for nonlinear fractional difference equations
Boundary Value Problems, 2018 In this study, we discuss some theorems related to the oscillatory behavior of nonlinear fractional difference equations equipped with well-known fractional Riemann–Liouville difference operator.
Hakan Adiguzel
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Demonstratio Mathematica, 2023 The contribution of fractional calculus in the development of different areas of research is well known. This article presents investigations involving fractional calculus in the study of analytic functions. Riemann-Liouville fractional integral is known
Alb Lupaş Alina, Acu Mugur
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Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
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Journal of Mathematics, 2021 We deal with the following Sturm–Liouville boundary value problem: −Ptx′t′+Btxt=λ∇xVt,x, a.e. t∈0,1x0cos α−P0x′0sin α=0x1cos β−P1x′1sin β=0 Under the subquadratic condition at zero, we obtain the existence of two nontrivial solutions and infinitely ...
Dan Liu, Xuejun Zhang, Mingliang Song
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On Holditch and Liouville theorems
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1995 The authors examine the relationship between the Liouville theorem in mechanics and the Holditch theorem in geometry. They first start by introducing well-known results of Hamiltonian mechanics when the Hamiltonian comes from a Riemannian metric \[ ds^2=g_{ij}dx^idx^j \] on the configuration space. In particular, the authors prove that the solutions of
Hacisalihoǧlu, H. H., Amirov, A. Kh.
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Geophysical Research Letters, Volume 53, Issue 15, 16 August 2026.Abstract Discrete energy bands of ion fluxes, typically organized in velocity with equal separations, have been frequently observed in Jupiter's magnetosphere either in association with Galilean moons or in regions far from their influence. Here, we focus on the latter type and propose that these bands are manifestations of bounce‐phase structuring ...
Ya‐Ze Wu +5 more
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Geophysical Research Letters, Volume 53, Issue 15, 16 August 2026.Abstract As an airless body, the lunar surface is charged as a result of balancing electric currents into and away from the surface. Lunar surface charging is important for both scientific and human‐exploration purposes. The nightside surface charging has been well characterized by previous studies, but less so for the dayside.
Shaosui Xu +3 more
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On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative
Journal of Function Spaces, 2021 Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence
Zareen A. Khan, Rozi Gul, Kamal Shah
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Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 8, August 2026.ABSTRACT We consider the stationary problem of the MHD equations in R3$\mathbb {R}^3$. The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space Ḃp,q−1+3/p$\dot{B}^{-1 + 3/p}_{p, q}$ for 1⩽p<3$1 \leqslant p < 3$ and 1⩽q⩽∞$1 \leqslant q \leqslant \infty$.
Kento Sube
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A Direct Approach for Detection of Bottom Topography in Shallow Water
Studies in Applied Mathematics, Volume 157, Issue 2, August 2026.ABSTRACT We propose a fast, stable, and direct analytic method to detect underwater channel topography from surface wave measurements, based on one‐dimensional shallow water equations. The technique requires knowledge of the free surface and its first two time derivatives at a single instant t★$t^{\star }$ above the fixed, bounded open segment of the ...
Noureddine Lamsahel, Carole Rosier
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