메뉴 건너뛰기




Volumn 58, Issue 5-6, 2004, Pages 489-515

Mixed problems for hyperbolic functional differential equations with unbounded delay

Author keywords

Bicharacteristics; Generalized solutions; Local existence; Unbounded delay

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL COMPLEXITY; FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING; THEOREM PROVING;

EID: 3242696111     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.04.005     Document Type: Article
Times cited : (4)

References (25)
  • 1
    • 0001080497 scopus 로고
    • Mixed problem for semilinear hyperbolic system on the plane
    • in Russian
    • Abolina V.E., Myshkis A.D. Mixed problem for semilinear hyperbolic system on the plane. Mat. Sb. 50:1960;423-442. (in Russian).
    • (1960) Mat. Sb. , vol.50 , pp. 423-442
    • Abolina, V.E.1    Myshkis, A.D.2
  • 2
    • 0040870686 scopus 로고
    • Differential and differential-difference inequalities related to mixed problems for first order partial differential functional equations
    • Brandi P., Kamont Z., Salvadori A. Differential and differential- difference inequalities related to mixed problems for first order partial differential functional equations. Atti Sem. Mat. Fis. Univ. Modena. 39:1991;255-276.
    • (1991) Atti Sem. Mat. Fis. Univ. Modena , vol.39 , pp. 255-276
    • Brandi, P.1    Kamont, Z.2    Salvadori, A.3
  • 3
    • 3242733537 scopus 로고    scopus 로고
    • On mixed problem for first order partial differential functional equations
    • Brandi P., Marcelli C. On mixed problem for first order partial differential functional equations. Atti. Sem. Mat. Fis. Univ. Modena. 46:1998;497-510.
    • (1998) Atti. Sem. Mat. Fis. Univ. Modena , vol.46 , pp. 497-510
    • Brandi, P.1    Marcelli, C.2
  • 4
    • 52449136760 scopus 로고
    • Nuove ricerche sui sistemi di equazioni nonlineari a derivate parziali in piú variabili indipendenti
    • Cinquini S. Nuove ricerche sui sistemi di equazioni nonlineari a derivate parziali in piú variabili indipendenti. Rend. Sem. Mat. Fis. Univ. Milano. 52:1982;531-550.
    • (1982) Rend. Sem. Mat. Fis. Univ. Milano , vol.52 , pp. 531-550
    • Cinquini, S.1
  • 5
    • 34250109661 scopus 로고
    • Sopra una classe di sistemi di equazioni non lineari a derivate parziali in piú variabili indipendenti
    • Cinquini-Cibrario M. Sopra una classe di sistemi di equazioni non lineari a derivate parziali in piú variabili indipendenti. Ann. Mat. Pura Appl. 140:1985;223-253.
    • (1985) Ann. Mat. Pura Appl. , vol.140 , pp. 223-253
    • Cinquini-Cibrario, M.1
  • 7
    • 25944468466 scopus 로고    scopus 로고
    • On the Chaplygin method for partial differential-functional equations of the first order
    • Człapiński T. On the Chaplygin method for partial differential-functional equations of the first order. Univ. Iagel. Acta Math. 35:1997;137-149.
    • (1997) Univ. Iagel. Acta Math. , vol.35 , pp. 137-149
    • Człapiński, T.1
  • 8
    • 21744444392 scopus 로고    scopus 로고
    • On the mixed problem for quasilinear partial differential-functional equations of the first order
    • Człapiński T. On the mixed problem for quasilinear partial differential-functional equations of the first order. Zeit. Anal. Anwend. 16:1997;463-478.
    • (1997) Zeit. Anal. Anwend. , vol.16 , pp. 463-478
    • Człapiński, T.1
  • 9
    • 0039622697 scopus 로고    scopus 로고
    • On the mixed problem for hyperbolic partial differential-functional equations of the first order
    • Człapiński T. On the mixed problem for hyperbolic partial differential-functional equations of the first order. Czechoslovak Math. J. 49:1999;791-809.
    • (1999) Czechoslovak Math. J. , vol.49 , pp. 791-809
    • Człapiński, T.1
  • 10
    • 25944449528 scopus 로고    scopus 로고
    • Existence of weak solutions of nonlinear functional differential equations with unbounded delay
    • Człapiński T., Kamont Z. Existence of weak solutions of nonlinear functional differential equations with unbounded delay. Appl. Anal. 77:2001;249-272.
    • (2001) Appl. Anal. , vol.77 , pp. 249-272
    • Człapiński, T.1    Kamont, Z.2
  • 11
    • 0003287113 scopus 로고
    • Functional differential equations with infinite delay
    • Berlin: Springer
    • Hino Y., Murakami S., Naito T. Functional Differential Equations with Infinite Delay. Lecture Notes in Mathematics. Vol. 1473:1991;Springer, Berlin.
    • (1991) Lecture Notes in Mathematics , vol.1473
    • Hino, Y.1    Murakami, S.2    Naito, T.3
  • 12
  • 14
    • 0043143085 scopus 로고
    • Difference methods for first order partial differential functional equations with initial boundary conditions
    • Kamont Z., Prza̧dka K. Difference methods for first order partial differential functional equations with initial boundary conditions. J. Vycisl. Mat. Mat. Fis. 31:1991;1476-1488.
    • (1991) J. Vycisl. Mat. Mat. Fis. , vol.31 , pp. 1476-1488
    • Kamont, Z.1    Prza̧dka, K.2
  • 17
    • 0021497786 scopus 로고
    • Monotone iterative technique for partial differential equations of first order
    • Lakshmikantham V., Oguztöreli M.N., Vatsala A.S. Monotone iterative technique for partial differential equations of first order. J. Math. Anal. Appl. 102:1984;393-398.
    • (1984) J. Math. Anal. Appl. , vol.102 , pp. 393-398
    • Lakshmikantham, V.1    Oguztöreli, M.N.2    Vatsala, A.S.3
  • 19
    • 0039134588 scopus 로고
    • Continuous solutions of quasilinear hyperbolic systems in two independent variables
    • Russian
    • Myshkis A.D., Filimonov A.M. Continuous solutions of quasilinear hyperbolic systems in two independent variables. Differen. Urav. 17:1981;488-500. (Russian).
    • (1981) Differen. Urav. , vol.17 , pp. 488-500
    • Myshkis, A.D.1    Filimonov, A.M.2
  • 20
    • 0005890620 scopus 로고
    • A mixed problem for systems of differential functional equations with partial derivatives and with operators of the Volterra type
    • Russian
    • Myshkis A.D., Slopak A.S. A mixed problem for systems of differential functional equations with partial derivatives and with operators of the Volterra type. Mat. Sb. (NS). 41:1957;239-256. (Russian).
    • (1957) Mat. Sb. (NS) , vol.41 , pp. 239-256
    • Myshkis, A.D.1    Slopak, A.S.2
  • 21
    • 3242722747 scopus 로고
    • Classical methods for viscosity solutions of differential-functional inequalities
    • Topolski K. Classical methods for viscosity solutions of differential-functional inequalities. Nolinear World. 4:1977;1-18.
    • (1977) Nolinear World , vol.4 , pp. 1-18
    • Topolski, K.1
  • 22
    • 0005247129 scopus 로고
    • On the uniqueness of viscosity solutions for first order partial differential-functional equations
    • Topolski K. On the uniqueness of viscosity solutions for first order partial differential-functional equations. Ann. Polon. Math. 59:1994;65-75.
    • (1994) Ann. Polon. Math. , vol.59 , pp. 65-75
    • Topolski, K.1
  • 23
    • 0039134587 scopus 로고
    • Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables
    • Turo J. Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables. Ann. Polon. Math. 49:1989;259-278.
    • (1989) Ann. Polon. Math. , vol.49 , pp. 259-278
    • Turo, J.1
  • 24
    • 0042675535 scopus 로고
    • Global solvability of the mixed problem for first order functional partial differential equations
    • Turo J. Global solvability of the mixed problem for first order functional partial differential equations. Ann. Polon. Math. 52:1991;231-238.
    • (1991) Ann. Polon. Math. , vol.52 , pp. 231-238
    • Turo, J.1
  • 25
    • 0043265795 scopus 로고    scopus 로고
    • Mixed problems for quasilinear hyperbolic systems
    • Turo J. Mixed problems for quasilinear hyperbolic systems. Nonlinear Anal. TMA. 30:1997;2329-2340.
    • (1997) Nonlinear Anal. TMA , vol.30 , pp. 2329-2340
    • Turo, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.