Singular Integral Equations of Convolution Type With Carleman Shift.

Authors: Nagdy, A. S.¹ (AUTHOR) abbas775@hotmail.com, Hashem, KH. M.¹ (AUTHOR), Ebrahim, H. E. H.¹ (AUTHOR), Ullah, Mohammad Safi¹ (AUTHOR) safi@cou.ac.bd

Source: Abstract & Applied Analysis. 1/4/2025, Vol. 2025, p1-8. 8p.

Subject Terms: *SINGULAR integrals, *DISCONTINUOUS functions, *ANALYTIC functions, *DISCONTINUOUS coefficients, *FOURIER analysis

Propagation and scattering of Rayleigh wave from an interfacial crack in a viscoelastic waveguide layer bonded to a piezoelectric substrate.

Authors: Singh, Suraj¹ (AUTHOR) surajsingh.mec@gmail.com, Saw, Gyana Ranjan¹ (AUTHOR), Chakraborty, Goutam¹ (AUTHOR)

Source: Mechanics Based Design of Structures & Machines. 2024, Vol. 52 Issue 10, p7379-7401. 23p.

Subject Terms: *SINGULAR integrals, *RAYLEIGH scattering, *SUPERPOSITION principle (Physics), *ALGEBRAIC equations, *SURFACE waves (Fluids), *RAYLEIGH waves

Scattering of Love wave from an interface crack in a viscoelastic waveguide layer bonded to a piezoelectric substrate: an analytical estimate and numerical validation.

Authors: Singh, Suraj¹ (AUTHOR) surajsingh.mec@gmail.com, Saw, Gyana Ranjan¹ (AUTHOR), Chakraborty, Goutam¹ (AUTHOR)

Source: Mechanics of Advanced Materials & Structures. 2024, Vol. 31 Issue 16, p3875-3888. 14p.

Subject Terms: *SINGULAR integrals, *SUBSTRATES (Materials science), *VISCOELASTIC materials, *PIEZOELECTRIC materials, *CAUCHY integrals, *PHASE velocity, *WAVEGUIDES

Approximation properties of a modified Gauss–Weierstrass singular integral in a weighted space.

Authors: Singh, Abhay Pratap¹ (AUTHOR), Singh, Uaday¹ (AUTHOR) uadayfma@iitr.ac.in

Source: Journal of Inequalities & Applications. 7/18/2024, Vol. 2024 Issue 1, p1-17. 17p.

Subject Terms: *SINGULAR integrals, *APPROXIMATION theory, *INTEGRAL operators, *HARMONIC analysis (Mathematics)

PARAMETRIZED TRIGONOMETRIC DERIVED Lp DEGREE OF APPROXIMATION BY VARIOUS SMOOTH INTEGRAL OPERATORS.

Authors: ANASTASSIOU, George A.¹ ganastss@memphis.edu

Source: Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science. 2024, Vol. 66 Issue 2, p53-82. 30p.

Subject Terms: *SINGULAR integrals, *INTEGRAL operators, *COMPUTATIONAL mathematics

ДИФРАКЦІЯ ПЛОСКИХ ГАРМОНІЧНИХ ХВИЛЬ НА ЖОРСТКОМУ ЦІЛІНДРИЧНОМУ ВКЛЮЧЕННІ ДОВІЛЬНОГО ПОПЕРЕЧНОГО ПЕРЕРІЗУ

Alternate Title: DIFFRACTION OF PLANE HARMONIC WAVES ON A RIGID CYLINDRICAL INCLUSION OF AN ARBITRARY CROSS SECTION.

Authors: Панченко, Б. Є.¹ pr-bob@ukr.net, Гунченко, Ю. О.² gunchenko@onu.edu.ua, Тимошенко, Л. М.³ l.m.timoshenko@op.edu.ua, Мартинович, Л. Я.² larysa.yaroslavna@onu.edu.ua, Северін, М. В.¹ n_severin@ukr.net

Source: Informatics & Mathematical Methods in Simulation / Informatika ta Matematičnì Metodi v Modelûvannì. 2024, Vol. 14 Issue 3, p199-204. 6p.

Subject Terms: *SINGULAR integrals, *NUMERICAL integration, *SPECIFIC gravity, *BOUNDARY value problems, *ELASTIC waves

О НАПРЯЖЕННОМ СОСТОЯНИИ КУСОЧНО-ОДНОРОДНОГО СЛОЯ, ВЗАИМОДЕЙСТВУЮЩЕГО С КОЛЛИНЕАРНОЙ СИСТЕМОЙ ТРЕЩИН И СТРИНГЕРОМ ПРИ АНТИПЛОСКОЙ ДЕФОРМАЦИИ

Alternate Title: On the stress state of a piecewise homogeneous layer interacting with a collinear system of cracks and a stringer under antiplane deformation.
Հակահարթ դեֆորմացիայի պայմաններում ճաքերի համագիծ համակարգի և ստրինգերի հետ փոխազդող կտոր առ կտոր համասեռ շերտի լարվածադեֆորմացիոն վիճակի մասին

Authors: М. М., Мкртчян¹ mmher628@gmail.com, М. С., Мкртчян² muscheg-mkrtchyan@rambler.ru

Source: Proceedings of the National Academy of Sciences of Armenia. Mechanics. 2024, Vol. 77 Issue 3, p28-41. 14p.

Subject Terms: *SINGULAR integrals, *STRAINS & stresses (Mechanics), *DISSIMILAR welding, *DEFORMATIONS (Mechanics)

Approximation of the Hilbert Transform in Hölder Spaces.

Authors: Aliev, R. A.^1,2,3,4 aliyevrashid@mail.ru, Alizade, L. Sh.¹ lale-alizade-98@mail.ru

Source: Azerbaijan Journal of Mathematics. Jul2024, Vol. 14 Issue 2, p88-98. 11p.

Subject Terms: *SINGULAR integrals, *ANALYTIC functions, *SYSTEMS theory, *FOURIER transforms, *NUMERICAL integration, *HILBERT transform

Numerical Evaluation of Strongly Near-Singular Integrals in High-Order Method of Moments

Authors: Wang, H., Chen, Y., Zong, X., Hu, J., Nie, Z.

Source: IEEE Transactions on Antennas and Propagation IEEE Trans. Antennas Propagat. Antennas and Propagation, IEEE Transactions on. 73(3):1640-1649 Mar, 2025

Dynamic Thermal Response of Multiple Interface Cracks between a Half-Plane and a Coating Layer under General Transient Temperature Loading.

Authors: Nourazar, Mahsa¹ (AUTHOR) nourazar@ualberta.ca, Yang, Weilin¹ (AUTHOR), Chen, Zengtao¹ (AUTHOR) zengtao.chen@ualberta.ca

Source: Materials (1996-1944). Jun2024, Vol. 17 Issue 11, p2478. 13p.

Subject Terms: *SINGULAR integrals, *LAPLACE transformation, *TEMPERATURE distribution, *HEAT conduction, *FOURIER transforms, *STRESS intensity factors (Fracture mechanics)

Continuous and discontinuous contact problems of a functionally graded piezoelectric layer resting on a homogeneous piezoelectric half plane.

Authors: Çömez, İsa¹ (AUTHOR) isacomez@hotmail.com, Güler, Mehmet Ali² (AUTHOR), El-Borgi, Sami³ (AUTHOR)

Source: Mechanics of Advanced Materials & Structures. 2024, Vol. 31 Issue 10, p2130-2143. 14p.

Subject Terms: *SINGULAR integrals, *FOURIER integrals, *ELECTRICAL load, *ELECTRIC displacement, *FOURIER transforms

Global existence and attractivity for Riemann-Liouville fractional semilinear evolution equations involving weakly singular integral inequalities.

Authors: Jiang, Caijing¹ (AUTHOR) caijing_jiang@163.com, Xu, Keji² (AUTHOR)

Source: Journal of Inequalities & Applications. 5/8/2024, Vol. 2024, p1-21. 21p.

Subject Terms: *SINGULAR integrals, *INTEGRAL inequalities, *EVOLUTION equations, *BANACH spaces

A force function formula for solutions of nonlinear weakly singular Volterra integral equations (WSVIE).

Authors: Sarfo, Kwasi Frempong^1,2 kwasifrempongsarfo@gmail.com, Denteh, William Obeng¹ wobeng-denteh.cos@knust.edu.gh, Takyi, Ishmael¹ ismael.takyi@knust.edu.gh, Darkwah, Kwaku Forkuoh¹ kfdarkwah.cos@knust.edu.gh

Source: European Journal of Pure & Applied Mathematics. Apr2024, Vol. 17 Issue 2, p1046-1069. 24p.

Subject Terms: *VOLTERRA equations, *SINGULAR integrals, *POWER series, *INTEGRAL equations, *NONLINEAR operators

ВЫНУЖДЕННЫЕ КОЛЕБАНИЯ ПОЛУБЕСКОНЕЧНОЙ ПЛАСТИНЫ С СИСТЕМОЙ ПАРАЛЛЕЛЬНЫХ К ГРАНИЦЕ КОЛЛИНЕАРНЫХ ТРЕЩИН

Alternate Title: Forced vibrations of a semi-infinite plate with a system of collinear cracks parallel to the boundary.
Եզրին զուգահեռ համագիծ ճաքերի համակարգ պարունակող կիսաանվերջ սալի ստիպողական տատանումները

Authors: В. Н., Акопян¹ vhakobyan@sci.am, А. А., Амирджанян² amirjanyan@gmail.com

Source: Proceedings of the National Academy of Sciences of Armenia. Mechanics. 2024, Vol. 77 Issue 2, p10-24. 15p.

Subject Terms: *SINGULAR integrals, *NUMERICAL integration, *FOIL stamping, *FREQUENCIES of oscillating systems, *NUMERICAL calculations

Thermal Friction Contact Analysis of Graded Piezoelectric Coatings Under Conductive Punch Loading.

Authors: Zhou, Xinyu¹, zhouxinyu@webmail.hzau.edu.cn, Liu, Jing¹, meliujing@mail.hzau.edu.cn, Mao, Jiajia², jiajia.mao@bjut.edu.cn

Source: Coatings (2079-6412); Feb2025, Vol. 15 Issue 2, p222, 22p

Sliding moving contact problem between a rigid cylindrical punch and a functionally graded orthotropic layer bonded to an isotropic homogeneous layer.

Authors: Çömez, İsa¹ (AUTHOR) isacomez@hotmail.com

Source: Mechanics Based Design of Structures & Machines. 2024, Vol. 52 Issue 3, p1211-1224. 14p.

Subject Terms: *NUMERICAL solutions to integral equations, *SINGULAR integrals, *FOURIER transforms, *TANGENTIAL force, *FUNCTIONALLY gradient materials, *JACOBI method

Determination of the Stress State of an Anisotropic Body with Smooth Curvilinear Inclusions Under Longitudinal Shear.

Authors: Savruk, M. P.¹ (AUTHOR), Kravets, V. S.¹ (AUTHOR) vlad@ipm.lviv.ua, Onyshko, L. Yo.¹ (AUTHOR), Kvasniuk, O. I.¹ (AUTHOR)

Source: Materials Science. Mar2024, Vol. 59 Issue 5, p591-600. 10p.

Subject Terms: *SINGULAR integrals, *ELASTIC constants, *SHEARING force, *STRESS concentration, *INTEGRAL equations

Influence of the Physical and Geometric Characteristics of a Cylindrical Shell with Longitudinal Crack on its Limit Equilibrium with Regard for the Inertia of Material.

Authors: Makhorkin, M. I.¹ (AUTHOR) mahorkin@ukr.net, Nykolyshyn, M. M.¹ (AUTHOR)

Source: Journal of Mathematical Sciences. Feb2024, Vol. 278 Issue 5, p859-879. 21p.

Subject Terms: *CYLINDRICAL shells, *SINGULAR integrals, *CAST-iron, *TORQUE, *COPPER

Frictional contact analysis of a rigid solid with periodic surface sliding on the thermoelectric material.

Authors: Zhang, Yali¹ (AUTHOR), Zhou, Yueting² (AUTHOR), Ding, Shenghu¹ (AUTHOR) dshnx2019@nxu.edu.cn

Source: Applied Mathematics & Mechanics. Jan2024, Vol. 45 Issue 1, p179-196. 18p.

Subject Terms: *ELECTRIC displacement, *SINGULAR integrals, *CURRENT density (Electromagnetism), *SLIDING friction, *JACOBI polynomials

Analysis method of collinear cracks subjected to thermo-magneto-electro-elastic loads.

Authors: Wu, B.^1,2 (AUTHOR), Peng, D.^3,4 (AUTHOR) daren.peng@monash.edu, Jones, R.^3,4 (AUTHOR)

Source: Archive of Applied Mechanics. Jan2024, Vol. 94 Issue 1, p99-117. 19p.

Subject Terms: *SINGULAR integrals, *MECHANICAL loads, *ELECTRIC displacement, *SURFACE cracks, *ELECTROMAGNETIC induction, *PHYSIOLOGICAL stress