Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation
نویسندگان
چکیده
منابع مشابه
Existence and blow-up of solution of Cauchy problem for the sixth order damped Boussinesq equation
In this paper, we consider the existence and uniqueness of the global solution for the sixth-order damped Boussinesq equation. Moreover, the finite-time blow-up of the solution for the equation is investigated by the concavity method.
متن کاملA Boundary Value Problem for a Singularly Perturbed Differential Equation
has a solution «=g(x) for O^x^Xo with g(0)=a and u = h(x) tor xo^x^l with h(l)=b where g(x0)=h(x0). It will be assumed that g'(xo)*h'(xo). The case of (1) with f=l — (y')t and where \a — b\ <1 can be treated explicitly. For small e>0 the solution of (1) tends to the broken line solution of (2) with g(x)=a — x and h = b — 1+x and Xo = (l+a—b)/2. (There is another broken line solution of (2) with...
متن کاملExistence and nonexistence of positive solution for sixth-order boundary value problems
In this paper, we formulate the sixth-order boundary value problem as Fredholm integral equation by finding Green's function and obtain the sufficient conditions for existence and multiplicity of positive solution for this problem. Also nonexistence results are obtained. An example is given to illustrate the results of paper.
متن کاملCauchy Problem for the Sixth-order Damped Multidimensional Boussinesq Equation
In this article, we consider the Cauchy problem for sixth-order damped Boussinesq equation in Rn. The well-posedness of global solutions and blow-up of solutions are obtained. The asymptotic behavior of the solution is established by the multiplier method.
متن کاملApproximate solutions to a parameterized sixth order boundary value problem
In this paper, the homotopy analysis method (HAM) is applied to solve a parameterized sixth order boundary value problem which, for large parameter values, cannot be solved by other analytical methods for finding approximate series solutions. Convergent series solutions are obtained, no matter how large the value of the parameter is.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2014
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2014/928148