Abstract
Exact and approximate solutions of a some type singular integro-differential equation related to problems of adhesive interaction between elastic thin half-infinite or finite homogeneous patch and elastic plate are investigated. For the patch loaded with vertical forces, there holds a standard model in which vertical elastic displacements are assumed to be constant. Using the theory of analytic functions, integral transforms and orthogonal polynomials, the singular integro-differential equation is reduced to a different boundary value problem of the theory of analytic functions or to an infinite system of linear algebraic equations. Exact or approximate solutions of such problems and asymptotic estimates of normal contact stresses are obtained.
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Articles in the same Issue
- Frontmatter
- A pair of rational double sequences
- On a new method of the testing hypothesis of equality of two Bernoulli regression functions for group observations
- Existence results for a system of nonlinear operator equations and block operator matrices in locally convex spaces
- Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations
- A Robin boundary value problem for the Cauchy–Riemann operator in a ring domain
- Particular solutions of equations with multiple characteristics expressed through hypergeometric functions
- One remark on the inverse scattering problem for the perturbed Stark operator on the semiaxis
- On a geometric statement of Ramsey type
- Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators
- Approximation on a new class of Szász–Mirakjan operators and their extensions in Kantorovich and Durrmeyer variants with applicable properties
- Regularity properties of nonlocal fractional differential equations and applications
- Solutions of a singular integro-differential equation related to the adhesive contact problems of elasticity theory
- Positive periodic solutions to the forced non-autonomous Duffing equations
- Absolute convergence factors of Lipschitz class functions for general Fourier series
Articles in the same Issue
- Frontmatter
- A pair of rational double sequences
- On a new method of the testing hypothesis of equality of two Bernoulli regression functions for group observations
- Existence results for a system of nonlinear operator equations and block operator matrices in locally convex spaces
- Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations
- A Robin boundary value problem for the Cauchy–Riemann operator in a ring domain
- Particular solutions of equations with multiple characteristics expressed through hypergeometric functions
- One remark on the inverse scattering problem for the perturbed Stark operator on the semiaxis
- On a geometric statement of Ramsey type
- Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators
- Approximation on a new class of Szász–Mirakjan operators and their extensions in Kantorovich and Durrmeyer variants with applicable properties
- Regularity properties of nonlocal fractional differential equations and applications
- Solutions of a singular integro-differential equation related to the adhesive contact problems of elasticity theory
- Positive periodic solutions to the forced non-autonomous Duffing equations
- Absolute convergence factors of Lipschitz class functions for general Fourier series