Geodesic
On the Integral Equation $u(x)=F(x)+\int G(x,\xi)u_+^{k/2}(\xi)\,d\xi\big/\int u_+^{k/2}(\xi)\,d\xi$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 28 (1994) no. 1, pp. 41-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {V. P. Maslov},
     title = {On the {Integral} {Equation} $u(x)=F(x)+\int G(x,\xi)u_+^{k/2}(\xi)\,d\xi\big/\int u_+^{k/2}(\xi)\,d\xi$},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     year = {1994},
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V. P. Maslov. On the Integral Equation $u(x)=F(x)+\int G(x,\xi)u_+^{k/2}(\xi)\,d\xi\big/\int u_+^{k/2}(\xi)\,d\xi$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 28 (1994) no. 1, pp. 41-50. http://geodesic.mathdoc.fr/item/FAA_1994_28_1_a3/

[1] Maslov V. P., Shvedov O. Yu., “Kvantovanie v okrestnosti klassicheskikh reshenii v zadache $N$ chastits i sverkhtekuchest”, Teor. i matem. fizika, 98:2 (1994), 266–288 | MR | Zbl

[2] Maslov V. P., Kompleksnye markovskie tsepi i kontinualnyi integral Feinmana, Nauka, M., 1976 | MR

[3] Maslov V. P., Asimptoticheskie metody i teoriya vozmuschenii, Nauka, M., 1988 | MR

[4] Maslov V. P., Kompleksnyi metod VKB v nelineinykh uravneniyakh, Nauka, M., 1978 | MR

[5] Anosov D. V., Sinai Ya. G., “Nekotorye gladkie ergodicheskie sistemy”, UMN, 22:5 (1967), 107–172 | MR | Zbl

[6] Fučik S., “A boundary value problems with jumping non-linearities”, Časopis Pěst. Mat., 101 (1976), 69–87 | MR

[7] Dancer E. N., “On the Dirichlet problem for weakly nonlinear elliptic partial differential equations”, Proc. Roy. Soc. Edinburgh Sect. A, 76 (1977), 283–300 | DOI | MR | Zbl

[8] Drabek P., Invernizzi S., “On the periodic BVP for the forced Duffing eqautions with jumping non-linearities”, Nonlinear Anal., 10 (1986), 643–650 | DOI | MR | Zbl

[9] Drabek P., “Landesman–Lazer condition for nonlinear problems with jumping nonlinearities”, J. Differential Equations, 85 (1990), 186–199 | DOI | MR | Zbl

[10] Cuesta M., Gossez J. P., “A variational approach to nonresonance with respect to the Fučik spectrum”, Nonlinear Anal., 19 (1992), 487–500 | DOI | MR | Zbl

[11] D'Figueredo D., Gossez J. P., “Strict monotonicity of eigenvalue and unic continuation”, Comm. Partial Differential Equations, 17 (1992), 339–349 | DOI | MR

[12] Gossez J. P., Omari P., “A necessary and sufficient condition on nonresonance for a semilinear Newman problem”, Proc. Mat. Soc., 114 (1992), 433–442 | DOI | MR | Zbl

[13] Maslov V. P., Samborskii S. N., “Suschestvovanie i edinstvennost statsionarnykh reshenii uravnenii Gamiltona–Yakobi”, DAN, 324:6 (1992)