Found 4,965 Documents (Results 1–100)
Regularity and Liouville theorem on an integral equation of Allen-Cahn type. (English) Zbl 07906822
Reviewer: Narahari Parhi (Bhubaneswar)
Some Grönwall inequalities for a class of discretizations of time fractional equations on nonuniform meshes. (English) Zbl 07930211
Movable singularity of some Hamiltonian systems associated with blowup phenomena. (English) Zbl 07926541
The solvability of some kinds of singular integral equations of convolution type with variable integral limits. (English) Zbl 07924046
Some remarks on integral operators in Banach function spaces and representation theorems in Banach-Sobolev spaces. (English) Zbl 07920842
The solvability and explicit solutions of singular integral-differential equations with reflection. (English) Zbl 07902036
The complex elliptic Ginibre ensemble at weak non-Hermiticity: edge spacing distributions. (English) Zbl 07901525
The infinite-order integro-differential operator related to the Lebedev-Skalskaya transform. (English) Zbl 07901414
Reviewer: Upain Kumar Mandal (Patna)
Nonlocal Green theorems and Helmholtz decompositions for truncated fractional gradients. (English) Zbl 07898805
Gellerstedt-Moiseev problem with data on parallel characteristics in the unbounded domain for a mixed type equation with singular coefficients. (English) Zbl 07896220
Entanglement entropy of ground states of the three-dimensional ideal Fermi gas in a magnetic field. (English) Zbl 07893516
Initial value problem for a third-order nonlinear integro-differential equation of convolution type. (English. Russian original) Zbl 07891412
Differ. Equ. 60, No. 4, 492-503 (2024); translation from Differ. Uravn. 60, No. 4, 521-532 (2024).
Toeplitz operators associated with the hypergeometric Gabor transform and applications. (English) Zbl 07885438
Reviewer: Dmitry Artamonov (Moskva)
An efficient numerical scheme to solve generalized Abel’s integral equations with delay arguments utilizing locally supported RBFs. (English) Zbl 1542.65192
Index calculation for Wiener-Hopf operators with slowly oscillating coefficients. (English) Zbl 07874827
Existence results and behavior analysis for nonlinear age-dependent population dynamics problems with conformable fractional operator. (English) Zbl 1541.92063
Galerkin spectral method for linear second-kind Volterra integral equations with weakly singular kernels on large intervals. (English) Zbl 1539.65205
Dynamics of one-dimensional maps and Gurtin-MacCamy’s population model. I: Asymptotically constant solutions. (English) Zbl 1543.45002
Ukr. Math. J. 75, No. 12, 1850-1868 (2024) and Ukr. Mat. Zh. 75, No. 12, 1635-1651 (2023).
Regularization of the volume integral operator of electromagnetic scattering. (English) Zbl 1540.35388
New polyconvolution product for Fourier-cosine and Laplace integral operators and their applications. (English) Zbl 1537.44007
Singular asymptotic expansion and Legendre collocation method for two-term weakly singular Volterra integral equation of the second kind. (English) Zbl 1535.65317
Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: analytical and computational consideration. (English) Zbl 1535.65316
On the combination of Lebesgue and Riemann integrals in theory of convolution equations. (English. Russian original) Zbl 1533.45001
Theor. Math. Phys. 218, No. 1, 68-74 (2024); translation from Teor. Mat. Fiz. 218, No. 1, 80-87 (2024).
A response letter for the editor’s reports on the paper: “On the polyconvolution operator with a trigonometric weight function for Hartley integral transforms and applications”. (English) Zbl 07825004
On rigorous computational and numerical solutions for the voltages of the electrified transmission range with the day yet distance. (English) Zbl 1531.65284
A fast, rapidly convergent Nyström solver for electromagnetic scattering from orthotropic media. (English) Zbl 1538.65626
Second-order asymptotics of fractional Gagliardo seminorms as \(s\to1^-\) and convergence of the associated gradient flows. arXiv:2410.17829
Preprint, arXiv:2410.17829 [math.AP] (2024).
Invariant subspaces of perturbed backward shift. arXiv:2407.17352
Preprint, arXiv:2407.17352 [math.FA] (2024).
The Choquet-Deny Property for Groupoids. arXiv:2406.05004
Preprint, arXiv:2406.05004 [math.FA] (2024).
Remarkable structures in integrable probability, I: max-independence structures. arXiv:2401.08033
Preprint, arXiv:2401.08033 [math.PR] (2024).
Homogenization of non-autonomous operators of convolution type in periodic media. (English) Zbl 1540.45006
Periodicity and symmetry in a class of integral equations with weakly singular kernels. (English) Zbl 07849628
The solution of a hypersingular integral equation occurring in potential problems over an elliptic disc by a spectral method. (English) Zbl 1543.45003
Reviewer: David Kapanadze (Tbilisi)
Bootstrap approach to \(1+1\)-dimensional integrable quantum field theories: the case of the sinh-Gordon model. (English) Zbl 07823098
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 4096-4118 (2023).
On asymptotics of the spectrum of an integral operator with a logarithmic kernel of a special form. (English. Russian original) Zbl 1535.45009
Differ. Equ. 59, No. 12, 1721-1733 (2023); translation from Differ. Uravn. 59, No. 12, 1680-1691 (2023).
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
A Liouville theorem for an integral equation of the Ginzburg-Landau type. (English) Zbl 1536.45001
Reviewer: Alexander N. Tynda (Penza)
Boundedness in \(L_p\) spaces for the Hartley-Fourier convolutions operator and their applications. (English) Zbl 1531.42012
Generalized Wiener-Hopf equations with directly Riemann integrable inhomogeneous term. (English) Zbl 07798258
Investigation of an approximate solution of the integral equation of the exterior Dirichlet boundary value problem for the Helmholtz equation in the two-dimensional space. (Russian. English summary) Zbl 1532.65116
Stability analysis of a simple discretization method for a class of strongly singular integral equations. (English) Zbl 1534.45006
Reviewer: Olaf Hansen (San Marcos)
Method of volume singular equations for solving a nonlinear problem of diffraction in a semi-infinite rectangular waveguide. (English) Zbl 1531.65220
A nonlinear fractional partial integro-differential equation with nonlocal initial value conditions. (English) Zbl 1531.35358
On solutions of a system of nonlinear integral equations of convolution type on the entire real line. (English. Russian original) Zbl 1531.45009
Differ. Equ. 59, No. 11, 1504-1519 (2023); translation from Differ. Uravn. 59, No. 11, 1500-1514 (2023).
Regularization of the generalized auto-convolution Volterra integral equation of the first kind. (English) Zbl 1531.65290
The integro-differential operators of infinite order on the half line related to the Legendre operator. (English) Zbl 1540.44010
Impact of nonlocal dispersal and time periodicity on the global exponential stability of bistable traveling waves. (English) Zbl 1529.45008
Filter design based on the fractional Fourier transform associated with new convolutions and correlations. (English) Zbl 1540.44011
Solvability of some fractional differential equations in the Hölder space \(\mathcal{H}_{\gamma}(\mathbb{R_+})\) and their numerical treatment via measures of noncompactness. (English) Zbl 1527.47005
Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group. (English) Zbl 1542.35017
A new exponential type kernel integral transform: Khalouta transform and its applications. (English) Zbl 07774147
Closed-form solutions for several classes of singular integral equations with convolution and Cauchy operator. (English) Zbl 1530.45003
Reviewer: Kai Diethelm (Schweinfurt)
On the polyconvolution with weight function \(\gamma (y) = \cos y\) for Hartley integral transforms \({\mathcal{H}}_1\), \({\mathcal{H}}_2\), \({\mathcal{H}}_1\) and integral equations. (English) Zbl 1536.44005
Ukr. Math. J. 75, No. 4, 652-662 (2023) and Ukr. Mat. Zh. 75, No. 4, 568-576 (2023).
On the polyconvolution operator with a trigonometric weight function for the Hartley integral transforms and applications. (English) Zbl 1536.44006
Convolution equations on the Lie group \(G = (-1,1)\). (English) Zbl 07757054
Reviewer: Yunfeng Zhang (Beijing)
Representations and regularity of vector-valued right-shift invariant operators between half-line Bessel potential spaces. (English) Zbl 07752343
On solvability of Barbashin’s type equation and initial value problem via the structure of generalized convolutions. (English) Zbl 1538.45016
The \(h\)-Fourier cosine-Laplace generalized convolution with a weight function. (English) Zbl 07751562
Reviewer: Takeshi Kawazoe (Yokohama)
The Fourier generalized convolutions on time scales \(h\mathbb{N}^0\) and their applications. (English) Zbl 07751558
Reviewer: Takeshi Kawazoe (Yokohama)
Measures of noncompactness in the space of regulated functions \(R (J, \mathbb{R}^{\infty})\) and its application to some nonlinear Infinite systems of fractional differential equations. (English) Zbl 07739756
Factorization of a class of matrix functions in the Wiener algebra of order 2. (English. Russian original) Zbl 07736664
Russ. Math. 67, No. 3, 32-41 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 3, 41-51 (2023).
Reviewer: Ilya Spitkovsky (Williamsburg)
Singular expansions and collocation methods for generalized Abel integral equations. (English) Zbl 1530.65188
Kernel determination problems in hyperbolic integro-differential equations. (English) Zbl 1531.45001
Infosys Science Foundation Series. Infosys Science Foundation Series in Mathematical Sciences. Singapore: Springer (ISBN 978-981-99-2259-8/hbk; 978-981-99-2262-8/pbk; 978-981-99-2260-4/ebook). xxviii, 368 p. (2023).
Reviewer: Vladimir Vasilyev (Belgorod)
On nonlinear convolution-type integral equations in the theory of \(p\)-adic strings. (English. Russian original) Zbl 1516.45002
Theor. Math. Phys. 216, No. 1, 1068-1081 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 184-200 (2023).
MSC:
45E10
Numerical solution of differential-algebraic equations of arbitrary index with Riemann-Liouville derivative. (Russian. English summary) Zbl 1538.65218
\(\mu\)-Hankel operators on compact abelian groups. (English) Zbl 1525.47063
Reviewer: Miroslav Engliš (Praha)
Nuclearity for power series kernels in higher dimensions. (English) Zbl 1543.47068
Reviewer: Elhadj Dahia (Bou Saâda)
Fredholmness of singular integral operators with complex conjugation on star-like curves with cusps. (English) Zbl 1518.45012
The \(h\)-Fourier sine-Laplace discrete generalized convolution on time scale. (English) Zbl 1522.42017
Reviewer: Raymond Johnson (Columbia)
Error analysis of Chebyshev polynomial-based numerical method for system of hypersingular integral equations. (English) Zbl 1538.65629
An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel. (English) Zbl 1512.65306
A natural regularization of the adsorption integral equation with Langmuir-kernel. (English) Zbl 1516.45001
A system of inhomogeneous integral equations of convolution type with power nonlinearity. (English. Russian original) Zbl 1516.45004
Sib. Math. J. 64, No. 3, 691-698 (2023); translation from Vladikavkaz. Mat. Zh. 24, No. 1, 5-14 (2022).
On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case. (English) Zbl 07690474
Reviewer: Robert Plato (Siegen)
A spectral approach to non-linear weakly singular fractional integro-differential equations. (English) Zbl 1509.45002
Uniqueness and existence of solutions to some kinds of singular convolution integral equations with Cauchy kernel via R-H problems. (English) Zbl 1514.45003
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
On conditions of regular solvability for two classes of third-order operator-differential equations in a fourth-order Sobolev-type space. (English) Zbl 1509.34058
Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order \(n\). (English) Zbl 1511.45006
The explicit solutions for a class of fractional Fourier-Laplace convolution equations. (English) Zbl 1519.44002
Periodic approximations in inverse spectral problems for canonical Hamiltonian systems. (English) Zbl 1516.37059
Reviewer: A. S. Makin (Moskva)
An efficient method for singular integral equations of non-normal type with two convolution kernels. (English) Zbl 1511.45003
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
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