A new approach to solve a nonlinear wave equation.
Kaya, D. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Kaya, D. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Kaya, D., Inc, M. (1999)
Bulletin of the Malaysian Mathematical Society. Second Series
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El-Kalla, Ibrahim L. (2007)
Applied Mathematics E-Notes [electronic only]
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Kaya, Doğan (2001)
International Journal of Mathematics and Mathematical Sciences
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Kaya, Doǧan (2001)
Journal of Applied Mathematics
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D. W. Solomon (1971)
Colloquium Mathematicae
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Pamuk, Serdal (2009)
Mathematical Problems in Engineering
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Mustafa Inc (2004)
Kragujevac Journal of Mathematics
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([unknown])
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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S. Hassi, H. S. V. de Snoo, F. H. Szafraniec
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Let A be a, not necessarily closed, linear relation in a Hilbert space ℌ with a multivalued part mul A. An operator B in ℌ with ran B ⊥ mul A** is said to be an operator part of A when A = B +̂ ({0} × mul A), where the sum is componentwise (i.e. span of the graphs). This decomposition provides a counterpart and an extension for the notion of closability of (unbounded) operators to the setting of linear relations. Existence and uniqueness criteria for an operator part are established...
S. Chaładus, Yu. Teterin (1991)
Acta Arithmetica
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T. Iwiński
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CONTENTSIntroduction.............................................................................................................................. 31. Definition of the Riccati equation of the n-th order....................................................... 62. Theorems on the existence of solutions of R equations. Relations between the solutions of linear differential equations and the solutions of the corresponding R equations..................................................................................................
Henryk Górecki (2009)
International Journal of Applied Mathematics and Computer Science
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The paper concerns the problem of decomposition of a large-scale linear dynamic system into two subsystems. An equivalent problem is to split the characteristic polynomial of the original system into two polynomials of lower degrees. Conditions are found concerning the coefficients of the original polynomial which must be fulfilled for its factorization. It is proved that knowledge of only one of the symmetric functions of those polynomials of lower degrees is sufficient for factorization...