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Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley +1 more source
Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.ABSTRACT This work aims to study some dynamical aspects of the nonlinear logarithmic Schrödinger equation (NLS‐log) on a tadpole graph, namely, a graph consisting of a circle with a half‐line attached at a single vertex. By considering Neumann–Kirchhoff boundary conditions at the junction, we show the existence and the orbital stability of standing ...
Jaime Angulo Pava +1 more
wiley +1 more source
Spectral bounds for singular indefinite Sturm-Liouville operators with $L^1$--potentials [PDF]
, 2017 The spectrum of the singular indefinite Sturm-Liouville operator $$A=\text{\rm sgn}(\cdot)\bigl(-\tfrac{d^2}{dx^2}+q\bigr)$$ with a real potential $q\in L^1(\mathbb R)$ covers the whole real line and, in addition, non-real eigenvalues may appear if the ...
Behrndt, Jussi +2 more
core +1 more source
Electronic Journal of Differential Equations, 2012 Using critical point theory due to Bonanno [3], we prove the existence of at least one non-trivial solution for a class of two-point boundary-value problems for fourth-order Sturm-Liouville type equations.
Shapour Heidarkhani
doaj
Localised gravity and resolved braneworlds
Journal of High Energy PhysicsDeriving an effective massless field theory for fluctuations about a braneworld spacetime requires analysis of the transverse-space-wavefunction’s second-order differential equation. There can be two strikingly different types of effective theory.
Rahim Leung, K. S. Stelle
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Journal of Applied Mathematics, 2013 In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions.
Erdoğan Şen +2 more
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AIP Advances, 2020 This paper deals with analytical and experimental study of permanent magnet linear synchronous machines with horizontally magnetized permanent magnets.
Kyung-Hun Shin +4 more
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Constants in the oscillation theory of higher order Sturm-Liouville differential equations
Electronic Journal of Differential Equations, 2002 We find the the exact value of a constant in some oscillation criteria for the higher order Sturm-Liouville differential equation $$ (-1)^{n}(t^alpha y^{(n)})^{(n)}=q(t)y . $$ We also study some general aspects in the oscillation theory of this equation.
Ondrej Dosly
doaj
A Study of the Generalized Gabor Transform with Applications to Reproducing Kernel Theory
MathematicsThe aim of this paper is to establish an inversion and Calderón formulas for the generalized Gabor transform associated with a class of Sturm–Liouville operators.
Saifallah Ghobber, Hatem Mejjaoli
doaj +1 more source
European Physical Journal C: Particles and Fields, 2017 Einstein-scalar-U(2) gauge field theory is considered in a spacetime characterized by $$\alpha $$ α and z, which are the hyperscaling violation factor and the dynamical critical exponent, respectively.
Miok Park, Jiwon Park, Jae-Hyuk Oh
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