linear differential equation with constant coefficients solution

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... Difference Equations Volume 2011, Article ID 546038, 14 pages doi:10.1155/2011/546038 Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral ... Nonlinear Analysis. Theory, Methods & Applications, vol. 72, no. 2, pp. 710–719, 2010. 15 S. Zhang, “Positive solutions for boundary-value problems of nonlinear fractional differential equations,” ... Differential Equations, no. 36, pp. 1–12, 2006. 16 M. Benchohra, S. Hamani, and S. K. Ntouyas, “Boundary value problems for differential equations with fractional order and nonlocal conditions,” Nonlinear...

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... Introduction This paper will provide estimates of solutions of linear systems of neutral differential equations with constant coefficients and a constant delay: ˙x  t   D ˙x  t − τ   Ax  t   ... pages doi:10.1155/2010/956121 Research Article Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients J. Ba ˇ stinec, 1 J. Dibl ´ ık, 1, 2 D. Ya. ... solution of the system of equations of neutral type 1.1 is called exponentially stable in the metric C 0 if there exist constants N i > 0, i  1, 2andμ>0 such that, for an arbitrary solution...

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... N = {N t ,t≥ 0} with intensity λ>0 is a piecewise constant process with stationary independent increments with initial value N 0 =0such that N t − N s is Poisson distributed with intensity λ t−s , ... differential equation SDE stochastic differential equation PDE partial differential equation PIDE partial integro differential equation I ν (·) modified Bessel function of the first kind with index ν K λ (·) ... continuous solutions of SDEs. The discrete time approximation of SDEs with jumps represents the focus of the monograph. The reader learns about powerful numerical methods for the solution of SDEs with...

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... development of general solutions to systems of linear differential equations or higher order linear differential equations. Over the past decade or two, first-order differential equations have become a ... solutions to linear differential equations and systems of equations exemplify important ideas in linear algebra, and how linear algebra often answers key questions regarding differential equations. ã ... Let us reconsider Differential Equations with Linear Algebra Systems of linear equations 13 1 2 1 3 2 x 2 x 1 x 3 Figure 1.4 The intersection of the three planes given by the linear system (1.2.6). ⎡ ⎣ 1...

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... [1] for an example with a second-order equation. Therefore, we are obliged to distinguish between the concepts of minimal solution and least solution (or maximal and greatest solutions), unfortunately ... periodic solution of a differential equation with state- dep endent delay. J. Diff. Equ. 244(8), 1910–1945 (2008) 8. Hartung, F, Krisztin, T, Walther, HO, Wu, J: Functional differential equations with ... have minimal (ma- ximal) solutions between given lower and upper solutions and not have the least (greatest) solution. This seems to be a peculiar feature of equa- tions with deviated arguments,...

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... multiplicity of solutions for p(x)-Laplacian equations in ℝ N . Nonlinear Anal. 59, 173–188 (2004) 19. Rabinowitz, PH: Minimax methods in critical point theory with applications to differential equations. ... variational methods when we solve super- linear differential equations such as elliptic problems, Dirac equations, Hamiltonian systems, wave equations, and Schrödinger equations. Theorem 3.2. Assume that ... Three solutions for a Neumann-type differential inclusion problem involving the p(x)-Laplacian. Nonlinear Anal. 70, 3755–3760 (2009). doi:10.1016/j.na.2008.07.031 4. Dai, G: Infinitely many solutions...

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... differential functional equations. Nonlinear Anal TMA. 14, 837–850 (1990). doi:10.1016/0362-546X(90)90024-B 14. Topolski, K: On the uniqueness of viscosity solutions for first order partial differential ... for w , ¯ w satisfying the condition: ||w|| B , || ¯ w || B ≤ A . There are differential integral equations and differential equations with deviated vari- ables such that Assumption H[F] is satisfied and ... Poland Abstract The article deals with functional differential inequalities generated by the Cauchy problem for nonlinear first-order partial functional differential equations. The unknown function...

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... we are concerned with the existence and multiplicity of positive solutions for the following nonlinear differential equation with nonlocal boundary value condi- tion ⎧ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎩ −  1  0 |u(s)| q dϕ(s)  u  (t ... the following nonlocal equation with zero Dirichlet boundary condition −a ⎛ ⎝ 1  0 |u(s)| q ⎞ ⎠ u  (t )=h(t)f (u(t)) , when the nonlinearity f is a sublinear or superlinear function in a sense ... Kang, P, Wei, Z: Three positive solutions of singular nonlocal boundary value problems for systems of nonlinear second-order ordinary differential equations. Nonlinear Anal. 70, 444–451 (2009)....

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... for non -linear differential equations of fractional order. Nonlinear Anal 2011, 74:792-804. 34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... On some nonlinear ordinary differential equations with advanced arguments. Nonlinear Anal 2003, 53:495-505. 40. Yan JR: Oscillation of first-order impulsive differential equations with advanced ... models to nonlinear differential equations. Appl Math Comput 2007, 187:79-88. 27. Balachandran K, Trujillo JJ: The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations...

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