Solvability and Asymptotic Behavior for Some Nonlinear Quadratic Integral Equation Involving Erdelyi-Kober Fractional Integrals on the Unbounded Interval

Mishra, Lakshmi Narayan; Agarwal, Ravi P.; Sen, Mausumi

doi:10.18576/pfda/020301

Cited by 31 publications

(13 citation statements)

References 23 publications

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“…In her Ph.D. thesis Deepmala [2] studied some results on fixed point theorems for nonlinear contractions with applications. Also, Mishra [30] and Mishra et al [31] investigated the solvability and asymptotic behavior International Journal of Advanced Research in Mathematics Vol. 8 13 of solutions to some nonlinear integral equations with applications.…”

Section: Now We Definementioning

confidence: 99%

Growth Estimates of Entire Function Solutions of Generalized Bi-Axially Symmetric Helmholtz Equation

Kumar¹

2017

IJARM

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Section: Now We Definementioning

confidence: 99%

Growth Estimates of Entire Function Solutions of Generalized Bi-Axially Symmetric Helmholtz Equation

Kumar¹

2017

IJARM

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“…In recent years, there has been a fairly great amount of work on periodic solutions for Duffing equations with a singularity (see [1][2][3][4][5][7][8][9][10][11] and the references cited therein), in account of its applications in applied sciences. For example, the Brillouin electron beam focusing problem [2,8] is to prove the existence of a positive π -periodic solutions of…”

Section: Introductionmentioning

confidence: 99%

Positive periodic solution for p-Laplacian neutral damped Duffing equation with strong singularities of attractive and repulsive type

Yao

Zhang

2019

J Inequal Appl

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This paper is devoted to investigating the following p-Laplacian neutral damped Duffing equation with singularity:where g has a singularity at u = 0. Applying the Manásevich-Mawhin theorem on a continuous case of topological degree, we obtain the existence of a positive periodic solution for this equation.where the nonlinear term g has a strong singularity of repulsive type at u = 0 and satisfies super-linearity condition at u = +∞. It is concluded that there exist infinitely many positive periodic solutions for Eq. (1.1) by applications of the generalized Poincaré-Birkhoff twist theorem. Afterwards, Wang and Ma [11] investigated Eq. (1.1) with g has a strong

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“…Functional integral equations of various types lead as a fascinating and important branch of nonlinear analysis and find numerous applications in describing of miscellaneous real world problems. Nonlinear integral equations are often investigated in research papers and monographs (see [1,2,9,14,18,20,21,[25][26][27][28][29][30] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

On existence theorems for some generalized nonlinear functional-integral equations with applications

Mishra

Sen

Mohapatra

2017

Filomat

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In the present paper, utilizing the techniques of suitable measures of noncompactness in Banach algebra, we prove an existence theorem for nonlinear functional-integral equation which contains as particular cases several integral and functional-integral equations that appear in many branches of nonlinear analysis and its applications. We employ the fixed point theorems such as Darbo's theorem in Banach algebra concerning the estimate on the solutions. We also provide a nontrivial example that explains the generalizations and applications of our main result.

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Solvability and Asymptotic Behavior for Some Nonlinear Quadratic Integral Equation Involving Erdelyi-Kober Fractional Integrals on the Unbounded Interval

Cited by 31 publications

References 23 publications

Growth Estimates of Entire Function Solutions of Generalized Bi-Axially Symmetric Helmholtz Equation

Growth Estimates of Entire Function Solutions of Generalized Bi-Axially Symmetric Helmholtz Equation

Positive periodic solution for p-Laplacian neutral damped Duffing equation with strong singularities of attractive and repulsive type

On existence theorems for some generalized nonlinear functional-integral equations with applications

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