Cauchy Problem for Second-Order Linear Non-Homogeneous Differential Equations with Impulse Effect

Authors

  • Yuldashova Hilola Ataxanovna Lecturer at Nukus State Pedagogical Institute
  • Rashidov Sardor Gulomovich Lecturer at Nukus State Pedagogical Institute

DOI:

https://doi.org/10.51699/ajdes.v9i.332

Keywords:

Impulse differential equation, Cauchy problem, system of fundamental solutions

Abstract

The second-order, variable-coefficient linearly homogeneous pulse effect is not homogeneous

for the differential equation in the form                              

the problem of finding a solution that satisfies the initial condition is studied.

References

Andronov A. A., Witt A. A., Haykin S. E. The theory of kuebaniy. –M .: Nauka, 1981. p.568.

Boguyubov N. N., Mitropuskiy YU. A. Asymptotic methods v teorii nelineynix kuebaniy. –M .: Fizmatgiz, 1963. p. 410.

Krasnoselskiy M.A. The sdviga operator on trajectories differential level. –M .: Nauka, 1966. p. 332.

Krasnoselskiy M.A., Vaynikko G.M., Zabreyko P.P. and dr. Priblijennoe reshenie operatornix uravdaniy. –M .: Nauka, 1969. p. 300.

Krilov N.M., Boguyubov N.N. Introduction to nonlinear mechanics. - Kiev, AN USSR, 1937. p. 364. ¬

Lando YU.K. Kraevaya zadacha for lineynix integro-differentialnix uravdaniy Fredguma vtorogo roda. Izv. AN BSSR, ser. phys. Techn. Science. №4. 1960. p. 11-21.

Mitropuskiy YU.A. Method usreddaniya v nelineynoy mechanics. –Kiev, “Naukova dumka”, 1971. p. 440.

Mishkis A.D. The basic theorems of theories of obiknovennix differential uravdaniy v neklassicheskix sluchayax. First letnyaya matematicheskaya shkua. –Kiev, “Naukova dumka”, 1964.

Mishkis A.D. Mathematics. Special courses for vtuzov. –M .: Nauka, 1971. p. 632.

Mishkis A.D., Samoylenko A.M. Systems with tuchkami in zadannie moment of time. Mateem. Sb., T. 74, №2. 1967.

Downloads

Published

2021-10-04

How to Cite

Ataxanovna, Y. H. ., & Gulomovich, R. S. . (2021). Cauchy Problem for Second-Order Linear Non-Homogeneous Differential Equations with Impulse Effect. Academic Journal of Digital Economics and Stability, 9, 186–190. https://doi.org/10.51699/ajdes.v9i.332

Issue

Section

Articles