An initial value problem fora third order differential equation

• Autorzy: Wojciech Mydlarczyk
• Języki publikacji: EN

Abstrakty

EN

For an initial value problem u'''(x) = g(u(x)), u(0) = u'(0) = u''(0) = 0, x > 0, some theorems on existence and uniqueness of solutions are established.

Słowa kluczowe

EN

nonlinear Volterra integral equation; existence and uniqueness of solutions

Kategorie tematyczne

• 45G10: Other nonlinear integral equations
• 45D05: Volterra integral equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1994
• Tom: 59
• Numer: 3
• Strony: 215-223

Daty

wydano

1994

otrzymano

1993-01-25

poprawiono

1993-06-03

Twórcy

autor

Wojciech Mydlarczyk

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

• [1] P. J. Bushell and W. Okrasiński, Uniqueness of solutions for a class of nonlinear Volterra integral equations with convolution kernel, Math. Proc. Cambridge Philos. Soc. 106 (1989), 547-552.
• [2] G. Gripenberg, Unique solutions of some Volterra integral equations, Math. Scand. 48 (1981), 59-67.
• [3] W. Mydlarczyk, The existence of nontrivial solutions of Volterra equations, ibid. 68 (1991), 83-88.
• [4] W. Okrasiński, Nontrivial solutions to nonlinear Volterra integral equations, SIAM J. Math. Anal. 22 (1991), 1007-1015.
• [5] W. Okrasiński, Nontrivial solutions for a class of nonlinear Volterra equations with convolution kernel, J. Integral Equations Appl. 3 (1991), 399-409.