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A Unified Approach to Some Classes of Nonlinear Integral Equations
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نویسنده
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ashirbayev n.k. ,banas̈ j. ,bekmoldayeva r.
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منبع
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journal of function spaces - 2014 - دوره : 2014 - شماره : 0
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چکیده
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We are going to discuss some important classes of nonlinear integral equations such as integral equations of volterra-chandrasekhar type,quadratic integral equations of fractional orders,nonlinear integral equations of volterra-wiener-hopf type,and nonlinear integral equations of erdélyi-kober type. those integral equations play very significant role in applications to the description of numerous real world events. our aim is to show that the mentioned integral equations can be treated from the view point of nonlinear volterra-stieltjes integral equations. the riemann-stieltjes integral appearing in those integral equations is generated by a function of two variables. the choice of a suitable generating function enables us to obtain various kinds of integral equations. some results concerning nonlinear volterra-stieltjes integral equations in several variables will be also discussed. copyright © 2014 nurgali k. ashirbayev et al.
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آدرس
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department of mathematics,science-pedagogical faculty,m. auezov south kazakhstan state university,tauke khan avenue 5, Kazakhstan, department of mathematics,rzeszów university of technology,al. powstańców warszawy 8, Poland, department of mathematics,science-pedagogical faculty,m. auezov south kazakhstan state university,tauke khan avenue 5, Kazakhstan
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Authors
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