On the existence of solution of the equation L ( x ) = N ( x ) and a generalized coincidence degree theory. I.

Enayet U, Tarafdar

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 4, page 805-823
  • ISSN: 0010-2628

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Tarafdar, Enayet U,. "On the existence of solution of the equation $L(x) = N(x)$ and a generalized coincidence degree theory. I.." Commentationes Mathematicae Universitatis Carolinae 021.4 (1980): 805-823. <http://eudml.org/doc/17081>.

@article{Tarafdar1980,
author = {Tarafdar, Enayet U,},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {coincidence degree; Leray-Schauder degree; admissible generalized Fredholm mapping},
language = {eng},
number = {4},
pages = {805-823},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the existence of solution of the equation $L(x) = N(x)$ and a generalized coincidence degree theory. I.},
url = {http://eudml.org/doc/17081},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Tarafdar, Enayet U,
TI - On the existence of solution of the equation $L(x) = N(x)$ and a generalized coincidence degree theory. I.
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 4
SP - 805
EP - 823
LA - eng
KW - coincidence degree; Leray-Schauder degree; admissible generalized Fredholm mapping
UR - http://eudml.org/doc/17081
ER -

References

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  1. CARADUS S. R., Perturbation theory for generalized Fredholm operators, Pacific J. Math. 52 (1974), 11-15. (1974) Zbl0267.47010MR0353034
  2. CARADUS S. R., Perturbation theory for generalized Fred-holm operators, II, Transactions Amer. Math. Soc. 62 (1977), 72-76. (1977) MR0435896
  3. DOLPH C. L., MINTY G. J., On nonlinear integral equations of the Hammerstein type, "Integral Equations", Madison Univ. Press, lilladison, 111 (1964), 99-154. (1964) Zbl0123.29603MR0161113
  4. EHRMANN H., Existenzsätze für die Lösungen gewisser nicht-linear Rand-wertaufgaben, Z. Angew. Math. Mech. 45 (1965), 22-29; Abh. Deutsch. Akad. tfiss. Berlin Kl. (1965) MR0205123
  5. GAINES R. E., MAWHIN J. L., Coincidence degree and non-linear differential Equations, Lecture Notes in Mathematics, No. 568 (Edited by Dold A. and Eckmann B.), Springer-Verlag (1977). (1977) MR0637067
  6. HETZER G., Some remarks on φ + operators and on the co-incidence degree for Fredholm equation with non-compact nonlinear perturbation, Ann. Soc. Sci. Bruxells Ser. I 89 (1975), 497-508. (1975) MR0385653
  7. HETZER G., Some applications of the coincidence degree for set-contractions to functional differential equations of neutral type, Comment. Math. Univ. Carolinae 16 (1975), 121-138. (1975) Zbl0298.47034MR0364814
  8. KELLET J. L., NAMIOKA I., Linear Topological Spaces, Graduate Texts in Mathematics, 36, Springer-Verlag (1964). (1964) 
  9. MAWHIN J., Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locality convex topological vector spaces, J. Differential Equations 12 (1972), 610-636. (1972) MR0328703
  10. TARAFDAR E., On the existence of the solution of the equation L ( x ) = N ( x ) and a generalized coincidence degree theory II, Comment. Math. Univ. Carolinae 21 (1980). (1980) MR0597769

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