In this paper we study integral equations of the third kind with fixed singularities in the kernel. For the approximate solution of these equations in the space of generalized functions we propose and justify a new generalized ...

In this paper we study integral equations of the third kind with fixed singularities in the kernel. For the approximate solving of these equations in the space of distribution we substantiate a new variant of the subdomain ...

© 2018, Pleiades Publishing, Ltd. We study a linear integro-differential equation with a coefficient that has finite-order zeros. To solve the equation approximately in a distribution space, we suggest and substantiate a ...

We consider a linear integro-differential equation whose coefficient has polynomial zeros. For its approximate solution in the space of distributions, we suggest and justify a new version of the collocation method based ...

We consider a linear integral equation of the third kind with fixed singularities in the kernel. To solve this equation approximately in the space of distributions, we suggest and justify special versions of the collocation ...

© 2017, Allerton Press, Inc. We study an integral equation of the third kind with fixed singularities of the kernel. We suggest and substantiate special generalized versions of spline methods for approximate solving these ...

© 2014, Pleiades Publishing, Ltd. To solve a linear integral equation of the third kind with fixed singularities in the kernel approximately in a space of distributions, we suggest and justify a special generalized version ...

© 2015, Pleiades Publishing, Ltd. We study a linear integral equation of the second kind with fixed singularities in the kernel. For its approximate solution in the space of “pointwise smooth” functions, we suggest and ...

In this paper we suggest and substantiate special direct methods for finding approximate solutions to integral equations of the third kind in the space of distributions. We consider a general case of location of zeroes of ...