Moroz V. Introduction of finite hybrid integral tranaforms.

Investigation object: the finite hybrid integral transforms. Investigation purpose: introduction and mathematically substantiation the finite hybrid integral transforms. Investigation methods: .the theory of the generalized function, mathematical and functional analysis, theory of the problems for differential equation. Theoretical and practical results, novelty: The finite hybrid integral transforms in reference to (n+1)-constituent segment, that were born by differential operators of Shturma-Liuvill's type, are introduced and substantiated mathematically in the thesis. The obtained finite hybrid integral transforms have been used for the solution on typycal problems of mathematical physics of non-gomogeneous structures. Degree of application: it is planned. Sphere (area) of application: the theory of hybrid integral transforms. . Investigation object: the finite hybrid integral transforms. Investigation purpose: introduction and mathematically substantiation the finite hybrid integral transforms. Investigation methods: .the theory of the generalized function, mathematical and functional analysis, theory of the problems for differential equation. Theoretical and practical results, novelty: The finite hybrid integral transforms in reference to (n+1)-constituent segment, that were born by differential operators of Shturma-Liuvill's type, are introduced and substantiated mathematically in the thesis. The obtained finite hybrid integral transforms have been used for the solution on typycal problems of mathematical physics of non-gomogeneous structures. Degree of application: it is planned. Sphere (area) of application: the theory of hybrid integral transforms. . Investigation object: the finite hybrid integral transforms. Investigation purpose: introduction and mathematically substantiation the finite hybrid integral transforms. Investigation methods: .the theory of the generalized function, mathematical and functional analysis, theory of the problems for differential equation. Theoretical and practical r esults, novelty: The finite hybrid integral transforms in reference to (n+1)-constituent segment, that were born by differential operators of Shturma-Liuvill's type, are introduced and substantiated mathematically in the thesis. The obtained finite hybrid integral transforms have been used for the solution on typycal problems of mathematical physics of non-gomogeneous structures. Degree of application: it is planned. Sphere (area) of application: the theory of hybrid integral transforms.