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[PDF] Top 20 The solution of a singular integral equation with some applications in potential theory

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The solution of a singular integral equation with some applications in potential theory

The solution of a singular integral equation with some applications in potential theory

... An analytical solution is derived for a singular integral equation which governs some twodimensional potential boundary value problems in a region exterior to n-infinite co-axial circula[r] ... See full document

8

Solving singular integral equations by using orthogonal polynomials

Solving singular integral equations by using orthogonal polynomials

... The Chebyshev polynomial is like a fine jewel that reveals different characteristics un- der illumination from varying positions [16]. There are many applications of Chebyshev polynomials, specially in solving ... See full document

15

Bounds on some new weakly singular Wendroff type integral inequalities and applications

Bounds on some new weakly singular Wendroff type integral inequalities and applications

... linear integral inequality with singular kernel to in- vestigate some qualitative properties for a parabolic differential equation; Sano and Ku- nimatsu [] gave a modified version of the ... See full document

11

Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications

Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications

... weakly singular integral inequalities in two variables which generalize some known results are ...equations, integral equations, and evolution ...of solution of a differential ... See full document

12

Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications

Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications

... and integral equations, such as existence, uniqueness, bounded- ness, stability, and other ...of theory for fractional differential equations, integral inequalities with weakly singular kernels ... See full document

24

On some new weakly singular Volterra integral inequalities with maxima and their applications

On some new weakly singular Volterra integral inequalities with maxima and their applications

... The Gronwall-Bellman inequality [, ] is an important tool in the study of existence, uniqueness, boundedness, stability, invariant manifolds, and other qualitative properties of solutions of differential equations and ... See full document

16

Some new weakly singular integral inequalities and their applications to fractional differential equations

Some new weakly singular integral inequalities and their applications to fractional differential equations

... and integral equations, as well as in the modeling of en- gineering and science ...equations, integral inequalities with weakly singular kernels have drawn more attention ...proved some ... See full document

16

Some properties and applications of the Teodorescu operator associated to the Helmholtz equation

Some properties and applications of the Teodorescu operator associated to the Helmholtz equation

... Helmholtz equation is an elliptic partial differential equation describing the electromagnetic wave, which has important applications in geophysics, medicine, engineering application, and many other ... See full document

19

ENHANCED PLANTED(ℓ,D) MOTIF SEARCH PRUNE ALGORITHM FOR PARALLEL ENVIRONMENT

ENHANCED PLANTED(ℓ,D) MOTIF SEARCH PRUNE ALGORITHM FOR PARALLEL ENVIRONMENT

... of integral equations appear in scientific applications in engineering, chemistry, physics and populations growth ...of integral equations have attracted much concern in applied sciences [1] and [7] ... See full document

8

On the numerical solution of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity

On the numerical solution of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity

... ON THE NUMERICAL SOLUTION OF THE MULTIDIMENSIONAL SINGULAR INTEGRALS AND INTEGRAL EQUATIONS, USED IN THE THEORY OF LINEAR VISCOELASTICITY E.G.. LADOPOULOS Department of Mathematics and M[r] ... See full document

14

On the Singular Integral Equation Connected with the Stokes Gravity Waves

On the Singular Integral Equation Connected with the Stokes Gravity Waves

... the singular integral equation for the Stokes free boundary was obtained ...The integral equation is simplified and the exis-tence of the solution is proved by means of ... See full document

5

Some new nonlinear integral inequalities with weakly singular kernel and their applications to FDEs

Some new nonlinear integral inequalities with weakly singular kernel and their applications to FDEs

... of some fractional differential equations, many inequalities with singular kernels have been developed (for example, see [–] and the references ... See full document

17

Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications

Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications

... generalized some known results and were used as handy and effective tools in the study of the solutions’ boundedness of some fractional differential and integral ... See full document

12

Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications

Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications

... and integral equations, by estimating the unknown function in the integral in- equality of the discontinuous functions, Some properties of the solution of some impulsive differential ... See full document

20

New results for Brillouin electron beam focusing system

New results for Brillouin electron beam focusing system

... periodic solution of ...periodic solution if a ∈ (,   ...periodic solution if a ∈ (, ...of singular Liénard equation, and by applications of his theory, they extended ... See full document

7

Superlinear Singular Problems on the Half Line

Superlinear Singular Problems on the Half Line

... Let θ < ∞. Then θ is the first zero of u and u θ > 0. Remark 2.2 yields that u θ 0 is not possible. This implies that θ < b. As u is strictly increasing on θ, b and u is not an escape solution, we have 0 ... See full document

18

Positive Solutions for Integral Boundary Value Problem with ϕ-Laplacian Operator

Positive Solutions for Integral Boundary Value Problem with ϕ-Laplacian Operator

... The main tools are the priori estimate method and the Leray-Schauder fixed point theorem. However, there are few papers dealing with the existence of positive solutions when φ satisfies H1 and f depends on both u and u . ... See full document

15

Bilinear Calderón Zygmund operators of type ω(t) on non homogeneous space

Bilinear Calderón Zygmund operators of type ω(t) on non homogeneous space

... Calderón-Zygmund theory for a nondoubling measure and introduced the RBMO spaces, a variant of the space BMO, and he proved that Calderón-Zygmund opera- tors are bounded from H  (μ) into L  ... See full document

18

On a singular integral equation with log kernel and its
application

On a singular integral equation with log kernel and its application

... the solution of a singular integral equation ...obtain solution of the scattering problem in a simple ...of singular integral equation method to solve the ...The ... See full document

12

A Spectral Integral Equation Solution of the Gross Pitaevskii Equation

A Spectral Integral Equation Solution of the Gross Pitaevskii Equation

... tral integral equation method (S-IEM) that is not a varia- tional ...the solution of several physics problems [31-40], and a pedagogical description is avail- able in ... See full document

8

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