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  • Artikel  (12)
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  • Artikel  (12)
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  • Springer  (12)
  • American Chemical Society
  • American Geophysical Union
  • American Institute of Physics (AIP)
  • American Meteorological Society
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  • 2000-2004  (12)
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  • 1
    Digitale Medien
    Digitale Medien
    The initial value problems of first order impulsive differential equations in Banach spaces (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 33-42 
    Details
    ISSN: 1573-2754
    Schlagwort(e): Banach space ; first order impulsive differential ; measure of noncompactness ; minimax quasi-solution ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract In this paper, by using of monotone iterative technique, the existence and iterative approximation of the minimax quasi-solutions of the initial value problems for more general first order impulsive differential equations in Banach spaces are investigated.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02458537
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  • 2
    Digitale Medien
    Digitale Medien
    Imperfect bifurcation of systems with slowly varying parameters and application to Duffing's equation (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 1024-1033 
    Details
    ISSN: 1573-2754
    Schlagwort(e): time-dependent parametric system ; bifurcation transition ; imperfect bifurcation ; Duffing's equation ; O175 ; O315.3 ; O322
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract A new method was proposed for essentially studying the imperfect bifurcation problem of nonlinear systems with a slowly varying parameter. By establishing some theorems on the solution approximated by that of the linearized system, the delayed bifurcation transition and jump phenomena of the time-dependent equation were analyzed. V-function was used to predict the bifurcation transition value. Applying the new method to analyze the Duffing's equation, some new results about bifurcation as well as that about the sensitivity of the solutions with respect to initial values and parameters are obtained.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02459312
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  • 3
    Digitale Medien
    Digitale Medien
    An analogue rotated vector field of polynomial system (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 597-602 
    Details
    ISSN: 1573-2754
    Schlagwort(e): polynomial system ; analogue vector field ; limit cycle ; Poincaré bifurcation ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract A class of polynomial system was structured, which depends on a parameter δ. When δ monotonous changes, more than one neighbouring limit cycles located in the vector fiel of this polynomial system can expand (or reduce) together with the δ. But the expansion (or reduction) of these limit cycles is not surely monotonous. This vector field is like the rotated vector field. So these limit cycles of the polynomial system are called to constitute an “analogue rotated vector field” with δ. They may become an effective tool to study the bifurcation of multiple limit cycle or fine separatrix cycle.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02459043
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  • 4
    Digitale Medien
    Digitale Medien
    Similarity reductions for 2+1-dimensional variable coefficient generalized kadomtsev-petviashvili equation (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 645-650 
    Details
    ISSN: 1573-2754
    Schlagwort(e): variable coefficient ; generalized Kadomtsev-Petviashvili equation ; direct reduction method ; similarity reduction ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract With the aid of MATHEMATICA, the direct reduction method was extended and applied in 2+1-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation (VCGKPE). As a result, several kinds of similarity reductions for VCGKPE are obtained which contain Painleve 1, Painleve II and Painleve IV reductions.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02460183
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  • 5
    Digitale Medien
    Digitale Medien
    Two types of traveling wave solutions to burgers-KdV equations (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 1119-1122 
    Details
    ISSN: 1573-2754
    Schlagwort(e): Burgers-KdV equation ; traveling wave solution ; Riccati equation ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract Two types of exact traveling wave solutions to Burgers-KdV equation by basis on work of XIONG Shu-lin are presented. Furthermore, some new results are replenished in work of FAN En-gui et al.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02458988
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  • 6
    Digitale Medien
    Digitale Medien
    The existence of periodic solutions for nonlinear systems of first-order differential equations at resonance (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 1282-1291 
    Details
    ISSN: 1573-2754
    Schlagwort(e): first-order differential equation ; periodic solution ; resonance ; Brouwer degree ; coincidence degree ; Duffing equation ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract The nonlinear system of first-order differential equations with a deviating argument $$\dot x(t) = Bx(t) + F(x(t - \tau )) + p(t)$$ is considered, where x(t)εR 2, τεR, BεR 2×2, F is bounded and p(t) is continuous and 2π-periodic. Some sufficient conditions for the existence of 2π-periodic solutions of the above equation, in a resonance case, by using the Brouwer degree theory and a continuation theorem based on Mawhin's coincidence degree are obtained. Some applications of the main results to Duffing's equations are also given.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02459250
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  • 7
    Digitale Medien
    Digitale Medien
    Blow-up of the solutions for the initialboundary problems of the nonlinear Schrödinger equations (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 1338-1340 
    Details
    ISSN: 1573-2754
    Schlagwort(e): nonlinear Schrödinger equation ; eigenvalue ; eigenfunction ; blow-up ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract The conditions of blow-up of the solutions for one class of nonlinear Schrödinger equations by using the eigenvalue and eigenfunction of the Laplace operator are got, which complements and perfects the results of ZHANG jian.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02459257
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  • 8
    Digitale Medien
    Digitale Medien
    Multi-solitary wave solutions for variant boussinesq equations and kupershmidt equations (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 193-198 
    Details
    ISSN: 1573-2754
    Schlagwort(e): multi-solitary wave solutions ; balance method ; Boussinesq equation ; Kupershmidt equation ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract Using the homogeneous balance method introduced by Wang Mingliang, the multi— solitary wave solutions are obtained for the variant Boussinesq equation and Kupershmidt equation. The Wang's result is a special case of above results for the variant Boussinesq equation.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02458520
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  • 9
    Digitale Medien
    Digitale Medien
    The existence of periodic solutions of impulsive differential equations of mixed type (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 291-296 
    Details
    ISSN: 1573-2754
    Schlagwort(e): mixed type ; impulsive differential equation ; periodic solution ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract The existence of periodic solutions for a class of impulsive differential equations of mixed type is studied by constructing periodic sequence solutions of difference equations.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02459007
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  • 10
    Digitale Medien
    Digitale Medien
    Long-time behavior of transient solutions for cellular neural network systems (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 321-326 
    Details
    ISSN: 1573-2754
    Schlagwort(e): dynamic stability ; cellular neural network systems ; long-time behavior of transient solutions ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract By establishing concept on transient solutions of general nonlinear systems converging to its equilibrium set, long-time behavior of solutions for cellular neural network systems is studied. A stability condition in generalized sense is obtained. This result reported has an important guide to concrete neural network designs.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02459010
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  • 11
    Digitale Medien
    Digitale Medien
    Periodic boundary value problems for first-order integro-differential equations of mixed type (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 363-370 
    Details
    ISSN: 1573-2754
    Schlagwort(e): generalized upper and lower solutions ; coincidence degree ; monotone iteration ; integro-differential equation of mixed type ; O175 ; O177
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract The existence of at least one solution and the existence of extreme solutions of periodic boundary value problems for first-order integro-differential equations of mixed type are studied, in the presence of generalized upper and lower solutions. The discussion is based on new comparison theorems and coincidence degree and monotone iterative methods.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02459016
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  • 12
    Digitale Medien
    Digitale Medien
    On a new algorithm of constructing solitary wave solutions for systems of nonlinear evolution equations in mathematical physics (2000)
    Springer
    Applied mathematics and mechanics 21 (2000), S. 383-388 
    Details
    ISSN: 1573-2754
    Schlagwort(e): system of nonlinear evolution equations ; sine-cosine method ; Wu-elimination method ; solitary wave solution ; O175
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau , Mathematik , Physik
    Notizen: Abstract According to the improved sine-cosine method and Wu-elimination method, a new algorithm to construct solitary wave solutions for systems of nonlinear evolution equations is put forward. The algorithm has some conclusions which are better than what the hyperbolic function method known does and simpler in use. With the aid of MATHEMATICA, the algorithm can be carried out in computer.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02463758
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