On equation P ( D ) u = f ( u ( m ) ) + g t , ( u ( j ) ) on the line

Piotr Fijałkowski

Mathematica Slovaca (2005)

  • Volume: 55, Issue: 3, page 283-294
  • ISSN: 0232-0525

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Fijałkowski, Piotr. "On equation $P(\text{D})u=f(u^{(m)})+g\bigl (t,(u^{(j)})\bigr )$ on the line." Mathematica Slovaca 55.3 (2005): 283-294. <http://eudml.org/doc/31572>.

@article{Fijałkowski2005,
author = {Fijałkowski, Piotr},
journal = {Mathematica Slovaca},
keywords = {ordinary differential equation; fixed point; topological degree},
language = {eng},
number = {3},
pages = {283-294},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On equation $P(\text\{D\})u=f(u^\{(m)\})+g\bigl (t,(u^\{(j)\})\bigr )$ on the line},
url = {http://eudml.org/doc/31572},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Fijałkowski, Piotr
TI - On equation $P(\text{D})u=f(u^{(m)})+g\bigl (t,(u^{(j)})\bigr )$ on the line
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 3
SP - 283
EP - 294
LA - eng
KW - ordinary differential equation; fixed point; topological degree
UR - http://eudml.org/doc/31572
ER -

References

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  2. BERNSTEIN S. N., Sur les équations du calcul des variations, Ann. Sci. Ecole Norm. Sup. 29 (1912), 431-485. (1912) MR1509153
  3. BROWDER F. E., Nonlinear functional analysis and nonlinear integral equations of Hammerstein and Urysohn type, In: Contributions to Nonlinear Functional Analysis (E. H. Zarantonello, ed.), Academic Press, New York, 1971, pp. 425 500. (1971) Zbl0267.47038MR0394340
  4. CONSTANTIN A., On an infinite interval boundary value problem, Ann. Mat. Pura Appl. (4) 176 (1999), 379-396. (1999) Zbl0969.34024MR1746548
  5. FIJAŁKOWSKI P., On the solvability of nonlinear elliptic equations in Sobolev spaces, Ann. Polon. Math. 56 (1992), 149-156. (1992) Zbl0776.35017MR1159986
  6. FIJAŁKOWSKI P.-PRZERADZKI B., On a boundary value problem for a nonlocal elliptic equation, J. Appl. Anal. (To appear). Zbl1071.35047MR2021288
  7. GRANAS A.-GUENTHER R.-LEE J., Nonlinear boundary value problems for ordinary differential equations, Dissertationes Math. (Rozprawy Mat.) 244 (1985). (1985) Zbl0615.34010MR0808227
  8. HORMANDER L., The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coeffìcients, Grundlehren Math. Wiss. 257, Springer-Verlag, Berlin-Heidelberg-New York-Tokyo, 1983. (1983) MR0705278
  9. KRASNOSEĽSKII M. A.-PUSTYĽNIK E. I.- SOBOLEVSKII P. E.-ZABREIKO P. P., Integral Operators of Summable Functions, Nauka, Moscow, 1966. (Russian) (1966) MR0206751
  10. LLOYD N. G., Degree Theory, Cambridge Tracts in Math. 73, Cambridgе Univ. Prеss, Cambridge, 1978. (1978) Zbl0367.47001MR0493564
  11. YOSIDA K., Functional Analysis, Springеr, Bеrlin, 1980. (1980) Zbl0435.46002MR1336382

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