Found 5,096 Documents (Results 1–100)
Spectral decomposition of the fractional Sturm-Liouville operator with \(\rho\)-generalized derivative. (English) Zbl 07923296
The basis property of weak eigenfunctions for Sturm-Liouville problem with boundary conditions dependent rationally on the eigenparameter. (English) Zbl 07922848
Green function of a class of eigenparameter dependent third-order differential operators with discontinuity. (English) Zbl 07922828
Investigation of the resolvent kernel of a higher order differential equation with normal operator coefficients on the semi-axis. (English) Zbl 07920837
Global Gevrey solvability of a complex of differential operators associated with an involutive system. (English) Zbl 07920122
On the fractional \(q\)-integral operators involving \(q\)-analogue of Mittag-Leffler function. (English) Zbl 07912331
Existence of nodal solutions to some nonlinear boundary value problems for ordinary differential equations of fourth order. (English) Zbl 07911185
Investigation of the asymptotics of the eigenvalues of a second-order quasidifferential boundary value problem. (English. Russian original) Zbl 07908232
Russ. Math. 68, No. 3, 11-30 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 3, 15-37 (2024).
Solving strongly nonlinear fractional Fredholm integral-differential equations in Caputo’s sense using the SBA method. (English) Zbl 07907360
Recovering the shape of an equilateral quantum tree with the Dirichlet conditions at the pendant vertices. (English) Zbl 07906392
Boundary value problems for integro-differential and singular higher-order differential equations. (English) Zbl 07903471
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions. (English) Zbl 07902927
Analytical and approximate monotone solutions of the mixed order fractional nabla operators subject to bounded conditions. (English) Zbl 07901614
Perturbation and spectral theory for singular indefinite Sturm-Liouville operators. (English) Zbl 07901384
\(\varPsi\)-Bielecki-type norm inequalities for a generalized Sturm-Liouville-Langevin differential equation involving \(\varPsi\)-Caputo fractional derivative. (English) Zbl 07897007
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals. (English) Zbl 07896991
Solving inverse nodal problem with frozen argument by using second Chebyshev wavelet method. (English) Zbl 07893339
A study of the scattering analysis of the multiplicative Sturm-Liouville problem. (English) Zbl 1541.34106
On a new version of Hermite-Hadamard-type inequality based on proportional Caputo-hybrid operator. (English) Zbl 07880464
The Liouville theorem for a class of Fourier multipliers and its connection to coupling. (English) Zbl 07879083
Existence of solutions of a nonlinear eigenvalue problem and their properties. (English. Russian original) Zbl 07878628
Sb. Math. 215, No. 1, 52-73 (2024); translation from Mat. Sb. 215, No. 1, 59-81 (2024).
A Liouville theorem and radial symmetry for dual fractional parabolic equations. (English) Zbl 1542.35096
Local solvability and stability for the inverse Sturm-Liouville problem with polynomials in the boundary conditions. (English) Zbl 07872008
Variational approach to a symmetric boundary value problem generated by a system of equations and separated boundary conditions. (English) Zbl 07871987
Scattering properties of the nonlinear eigenvalue-dependent Sturm-Liouville equations with sign-alternating weight and jump condition. (English) Zbl 07871686
Spectral representation of one-dimensional Liouville Brownian motion and Liouville Brownian excursion. (English) Zbl 07871286
Reviewer: Byoung Soo Kim (Seoul)
Dependence of eigenvalue of Sturm-Liouville operators on the real coupled boundary condition. (English) Zbl 07867878
Reverse inequalities through \(k\)-weighted fractional operators with two parameters. (English) Zbl 1541.26037
Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges. (English) Zbl 07864548
Reviewer: Natalia Bondarenko (Saratov)
Approximating fractional calculus operators with general analytic kernel by Stancu variant of modified Bernstein-Kantorovich operators. (English) Zbl 07861225
On an inverse scattering problem for the quadratic pencil of the Sturm-Liouville operator with a piece-wise constant coefficient. (English) Zbl 07860948
The regularized trace formula for a discontinuous Sturm-Liouville problem with a spectral parameter dependent jump condition. (English) Zbl 07860947
On the uniqueness of inverse problems for “weighted” Sturm-Liouville operator with delta interaction. (English) Zbl 07860943
Solvability of the inverse spectral problem for Sturm-Liouville operator with spectral parameter in the boundary condition. (English) Zbl 07860941
Curvature conditions, Liouville-type theorems and Harnack inequalities for a nonlinear parabolic equation on smooth metric measure spaces. (English) Zbl 07857774
Fundamental solutions and critical Lane-Emden exponents for nonlinear integral operators in cones. (English) Zbl 07856555
Local stability of half inverse problems with boundary conditions dependent on the spectral parameter. (English) Zbl 07852479
Generalization of Ostrowski’s type inequality via Riemann-Liouville fractional integral and applications in numerical integration, probability theory and special means. (English) Zbl 07851863
Sturm-Liouville problem for a one-dimensional thermoelastic operator in Cartesian, cylindrical, and spherical coordinate systems. (English) Zbl 1543.34101
Recovering the shape of an equilateral quantum tree by two spectra. (English) Zbl 07846495
Reviewer: Manfred Möller (Johannesburg)
Fractional dual Simpson-type inequalities for differentiable \(s\)-convex functions. (English) Zbl 07845436
Existence of solutions for a fractional Riemann-Stieltjes integral boundary value problem. (English) Zbl 07843108
On a nonlocal integral operator commuting with the Laplacian and the Sturm-Liouville problem: low rank perturbations of the operator. (English) Zbl 1537.34044
Minimality conditions for Sturm-Liouville problems with a boundary condition depending affinely or quadratically on an eigenparameter. (English) Zbl 07840369
Markin, Marat V. (ed.) et al., Advances in functional analysis and operator theory. AMS-EMS-SMF special session, Université de Grenoble-Alpes, Grenoble, France, July 18–22, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 798, 1-12 (2024).
Reviewer: Gang Meng (Beijing)
New extensions of Hermite-Hadamard inequalities via generalized proportional fractional integral. (English) Zbl 07840121
MSC:
65Mxx
Prescribed blow-up sets for sequences of solutions to a non-local \(Q\)-curvature equation in \(\mathbb{R}^3\). (English) Zbl 1537.35400
Donoghue \(m\)-functions for singular Sturm-Liouville operators. (English) Zbl 07835959
St. Petersbg. Math. J. 35, No. 1, 101-138 (2024) and Algebra Anal. 35, No. 1, 134-183 (2023).
MSC:
47-XX
Some boundedness results for \(\psi\)-Riemann-Liouville and \(\psi\)-Riemann-Liouville tempered fractional integrals in \(\mathbb{R}\). (English) Zbl 07833707
Reviewer: James Adedayo Oguntuase (Abeokuta)
Precise eigenvalues in the solutions of generalized Sturm-Liouville problems. (English) Zbl 1540.65250
A mathematical description of the Weber nucleus as a classical and quantum mechanical system. (English) Zbl 1540.34063
Uniqueness of nonlinear inverse problem for Sturm-Liouville operator with multiple delays. (English) Zbl 1535.34028
Optimal mass of structure with motion described by Sturm-Liouville operator: design and predesign. (English) Zbl 1534.49028
Sturm-Liouville problems and global bounds by small control sets and applications to quantum graphs. (English) Zbl 07814080
On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single-well potential. (English) Zbl 1541.34046
Reviewer: Vladimir Vladičić (Sarajevo)
Inverse nodal problem for singular Sturm-Liouville operator on a star graph. (English) Zbl 1540.34053
Reviewer: Chuan-Fu Yang (Nanjing)
Nonexistence of anti-symmetric solutions for an elliptic system involving fractional Laplacian. (English) Zbl 1532.35504
Stein-Weiss type inequality on the upper half space and its applications. (English) Zbl 1537.35019
Reviewer: Meng Qu (Wuhu)
A class of fractional integral operators involving a certain general multiindex Mittag-Leffler function. (English) Zbl 1533.45008
Ukr. Math. J. 75, No. 8, 1255-1271 (2024); and Ukr. Mat. Zh. 75, No. 8, 1096-1112 (2023).
Reviewer: Mohammed El Aïdi (Bogotá)
Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds. II: Integral curvature condition. (English) Zbl 07784792
Sharp estimates of lowest positive Neumann eigenvalue for general indefinite Sturm-Liouville problems. (English) Zbl 07782697
Reviewer: Andreas Fleige (Dortmund)
Recovery of a potential on a quantum star graph from Weyl’s matrix. (English) Zbl 1530.34024
Reviewer: Natalia Bondarenko (Saratov)
Anderson localization for the 1-d Schrödinger operator with white noise potential. (English) Zbl 07765652
Reviewer: Constanza Rojas-Molina (Paris)
Non-existence results for a nonlinear fractional system of differential problems. (English) Zbl 1526.34007
Nonnegative extensions of Sturm-Liouville operators with an application to problems with symmetric coefficient functions. arXiv:2410.04647
Preprint, arXiv:2410.04647 [math.SP] (2024).
Cospectral trees indistinguishable by scattering. arXiv:2408.01995
Preprint, arXiv:2408.01995 [math-ph] (2024).
Optimal Power-Weighted Birman–Hardy–Rellich-type Inequalities on Finite Intervals and Annuli. arXiv:2408.01884
Preprint, arXiv:2408.01884 [math.CA] (2024).
A new approach to inverse Sturm-Liouville problems based on point interaction. arXiv:2407.17223
Preprint, arXiv:2407.17223 [math.SP] (2024).
Finer limit circle/limit point classification for Sturm-Liouville operators. arXiv:2407.04847
Preprint, arXiv:2407.04847 [math.SP] (2024).
Liouville type theorems for dual nonlocal evolution equations involving Marchaud derivatives. arXiv:2405.05577
Preprint, arXiv:2405.05577 [math.AP] (2024).
Master equations with indefinite nonlinearities. arXiv:2405.02091
Preprint, arXiv:2405.02091 [math.AP] (2024).
On the non-existence of oscillation numbers in Sturm-Liouville theory. arXiv:2404.19575
Preprint, arXiv:2404.19575 [math.CA] (2024).
Ostrowski and trapezoid type inequalities for Riemann-Liouville fractional integrals of functions with bounded variation. (English) Zbl 07929583
Daras, Nicholas J. (ed.) et al., Exploring mathematical analysis, approximation theory, and optimization. 270 years since A.-M. Legendre’s birth. Cham: Springer. Springer Optim. Appl. 207, 45-66 (2023).
The Jacobi operator and its Donoghue \(m\)-functions. (English) Zbl 07927982
Choi, Yemon (ed.) et al., Operators, semigroups, algebras and function theory. Volume from IWOTA, Lancaster, UK, virtual, August 16–20, 2021. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 292, 145-181 (2023).
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